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Finding the Fourth Proportional to 9,568.76, 14,327.40 and 5,402.52

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Solution

The fourth proportional to 9,568.76, 14,327.40 and 5,402.52 is: 8,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.76 : 14,327.40 = 5,402.52 : x
  2. Step 2: Convert to fraction form
    9,568.76/14,327.40 = 5,402.52/x
  3. Step 3: Cross multiply
    9,568.76x = 14,327.40 × 5,402.52
  4. Step 4: Simplify right side
    9,568.76x = 77,404,065.05
  5. Step 5: Solve for x
    x = 77,404,065.05/9,568.76
  6. Step 6: Final answer
    x = 8,089.25

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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.