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Finding the Fourth Proportional to 9,107.52, 13,683.15 and 5,827.02

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Solution

The fourth proportional to 9,107.52, 13,683.15 and 5,827.02 is: 8,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.52 : 13,683.15 = 5,827.02 : x
  2. Step 2: Convert to fraction form
    9,107.52/13,683.15 = 5,827.02/x
  3. Step 3: Cross multiply
    9,107.52x = 13,683.15 × 5,827.02
  4. Step 4: Simplify right side
    9,107.52x = 79,731,988.71
  5. Step 5: Solve for x
    x = 79,731,988.71/9,107.52
  6. Step 6: Final answer
    x = 8,754.52

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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.