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Finding the Fourth Proportional to 9,411.53, 12,988.10 and 5,634.86

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Solution

The fourth proportional to 9,411.53, 12,988.10 and 5,634.86 is: 7,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.53 : 12,988.10 = 5,634.86 : x
  2. Step 2: Convert to fraction form
    9,411.53/12,988.10 = 5,634.86/x
  3. Step 3: Cross multiply
    9,411.53x = 12,988.10 × 5,634.86
  4. Step 4: Simplify right side
    9,411.53x = 73,186,032.05
  5. Step 5: Solve for x
    x = 73,186,032.05/9,411.53
  6. Step 6: Final answer
    x = 7,776.21

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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.