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Finding the Fourth Proportional to 9,817.96, 13,545.07 and 6,275.02

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Solution

The fourth proportional to 9,817.96, 13,545.07 and 6,275.02 is: 8,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.96 : 13,545.07 = 6,275.02 : x
  2. Step 2: Convert to fraction form
    9,817.96/13,545.07 = 6,275.02/x
  3. Step 3: Cross multiply
    9,817.96x = 13,545.07 × 6,275.02
  4. Step 4: Simplify right side
    9,817.96x = 84,995,585.15
  5. Step 5: Solve for x
    x = 84,995,585.15/9,817.96
  6. Step 6: Final answer
    x = 8,657.15

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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.