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Finding the Fourth Proportional to 9,034.59, 13,533.67 and 7,568.47

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Solution

The fourth proportional to 9,034.59, 13,533.67 and 7,568.47 is: 11,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.59 : 13,533.67 = 7,568.47 : x
  2. Step 2: Convert to fraction form
    9,034.59/13,533.67 = 7,568.47/x
  3. Step 3: Cross multiply
    9,034.59x = 13,533.67 × 7,568.47
  4. Step 4: Simplify right side
    9,034.59x = 102,429,175.38
  5. Step 5: Solve for x
    x = 102,429,175.38/9,034.59
  6. Step 6: Final answer
    x = 11,337.45

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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.