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Finding the Fourth Proportional to 9,564.12, 14,344.14 and 4,368.72

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Solution

The fourth proportional to 9,564.12, 14,344.14 and 4,368.72 is: 6,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.12 : 14,344.14 = 4,368.72 : x
  2. Step 2: Convert to fraction form
    9,564.12/14,344.14 = 4,368.72/x
  3. Step 3: Cross multiply
    9,564.12x = 14,344.14 × 4,368.72
  4. Step 4: Simplify right side
    9,564.12x = 62,665,531.30
  5. Step 5: Solve for x
    x = 62,665,531.30/9,564.12
  6. Step 6: Final answer
    x = 6,552.15

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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.