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Finding the Fourth Proportional to 9,684.51, 13,364.49 and 5,492.49

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Solution

The fourth proportional to 9,684.51, 13,364.49 and 5,492.49 is: 7,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.51 : 13,364.49 = 5,492.49 : x
  2. Step 2: Convert to fraction form
    9,684.51/13,364.49 = 5,492.49/x
  3. Step 3: Cross multiply
    9,684.51x = 13,364.49 × 5,492.49
  4. Step 4: Simplify right side
    9,684.51x = 73,404,327.68
  5. Step 5: Solve for x
    x = 73,404,327.68/9,684.51
  6. Step 6: Final answer
    x = 7,579.56

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