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Finding the Fourth Proportional to 9,685.52, 14,533.52 and 7,498.52

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Solution

The fourth proportional to 9,685.52, 14,533.52 and 7,498.52 is: 11,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.52 : 14,533.52 = 7,498.52 : x
  2. Step 2: Convert to fraction form
    9,685.52/14,533.52 = 7,498.52/x
  3. Step 3: Cross multiply
    9,685.52x = 14,533.52 × 7,498.52
  4. Step 4: Simplify right side
    9,685.52x = 108,979,890.39
  5. Step 5: Solve for x
    x = 108,979,890.39/9,685.52
  6. Step 6: Final answer
    x = 11,251.84

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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.