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Finding the Fourth Proportional to 9,034.32, 13,529.71 and 7,710.38

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Solution

The fourth proportional to 9,034.32, 13,529.71 and 7,710.38 is: 11,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.32 : 13,529.71 = 7,710.38 : x
  2. Step 2: Convert to fraction form
    9,034.32/13,529.71 = 7,710.38/x
  3. Step 3: Cross multiply
    9,034.32x = 13,529.71 × 7,710.38
  4. Step 4: Simplify right side
    9,034.32x = 104,319,205.39
  5. Step 5: Solve for x
    x = 104,319,205.39/9,034.32
  6. Step 6: Final answer
    x = 11,546.99

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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.