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Finding the Fourth Proportional to 9,689.60, 14,545.20 and 5,315.60

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Solution

The fourth proportional to 9,689.60, 14,545.20 and 5,315.60 is: 7,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.60 : 14,545.20 = 5,315.60 : x
  2. Step 2: Convert to fraction form
    9,689.60/14,545.20 = 5,315.60/x
  3. Step 3: Cross multiply
    9,689.60x = 14,545.20 × 5,315.60
  4. Step 4: Simplify right side
    9,689.60x = 77,316,465.12
  5. Step 5: Solve for x
    x = 77,316,465.12/9,689.60
  6. Step 6: Final answer
    x = 7,979.32

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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.