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Finding the Fourth Proportional to 9,568.31, 14,331.65 and 4,627.53

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Solution

The fourth proportional to 9,568.31, 14,331.65 and 4,627.53 is: 6,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.31 : 14,331.65 = 4,627.53 : x
  2. Step 2: Convert to fraction form
    9,568.31/14,331.65 = 4,627.53/x
  3. Step 3: Cross multiply
    9,568.31x = 14,331.65 × 4,627.53
  4. Step 4: Simplify right side
    9,568.31x = 66,320,117.19
  5. Step 5: Solve for x
    x = 66,320,117.19/9,568.31
  6. Step 6: Final answer
    x = 6,931.23

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