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Finding the Fourth Proportional to 9,639.69, 13,271.85 and 8,397.15

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Solution

The fourth proportional to 9,639.69, 13,271.85 and 8,397.15 is: 11,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.69 : 13,271.85 = 8,397.15 : x
  2. Step 2: Convert to fraction form
    9,639.69/13,271.85 = 8,397.15/x
  3. Step 3: Cross multiply
    9,639.69x = 13,271.85 × 8,397.15
  4. Step 4: Simplify right side
    9,639.69x = 111,445,715.23
  5. Step 5: Solve for x
    x = 111,445,715.23/9,639.69
  6. Step 6: Final answer
    x = 11,561.13

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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.