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Finding the Fourth Proportional to 9,692,811.14, 13,378,064.25 and 5,774,862.43

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Solution

The fourth proportional to 9,692,811.14, 13,378,064.25 and 5,774,862.43 is: 7,970,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692,811.14 : 13,378,064.25 = 5,774,862.43 : x
  2. Step 2: Convert to fraction form
    9,692,811.14/13,378,064.25 = 5,774,862.43/x
  3. Step 3: Cross multiply
    9,692,811.14x = 13,378,064.25 × 5,774,862.43
  4. Step 4: Simplify right side
    9,692,811.14x = 77,256,480,590,005.97
  5. Step 5: Solve for x
    x = 77,256,480,590,005.97/9,692,811.14
  6. Step 6: Final answer
    x = 7,970,492.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.