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Finding the Fourth Proportional to 9,033.59, 13,532.18 and 7,567.47

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Solution

The fourth proportional to 9,033.59, 13,532.18 and 7,567.47 is: 11,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.59 : 13,532.18 = 7,567.47 : x
  2. Step 2: Convert to fraction form
    9,033.59/13,532.18 = 7,567.47/x
  3. Step 3: Cross multiply
    9,033.59x = 13,532.18 × 7,567.47
  4. Step 4: Simplify right side
    9,033.59x = 102,404,328.35
  5. Step 5: Solve for x
    x = 102,404,328.35/9,033.59
  6. Step 6: Final answer
    x = 11,335.95

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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.