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Finding the Fourth Proportional to 9,894.07, 14,848.37 and 7,969.51

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Solution

The fourth proportional to 9,894.07, 14,848.37 and 7,969.51 is: 11,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.07 : 14,848.37 = 7,969.51 : x
  2. Step 2: Convert to fraction form
    9,894.07/14,848.37 = 7,969.51/x
  3. Step 3: Cross multiply
    9,894.07x = 14,848.37 × 7,969.51
  4. Step 4: Simplify right side
    9,894.07x = 118,334,233.20
  5. Step 5: Solve for x
    x = 118,334,233.20/9,894.07
  6. Step 6: Final answer
    x = 11,960.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.