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Finding the Fourth Proportional to 10,057.32, 14,979.74 and 9,530.39

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Solution

The fourth proportional to 10,057.32, 14,979.74 and 9,530.39 is: 14,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.32 : 14,979.74 = 9,530.39 : x
  2. Step 2: Convert to fraction form
    10,057.32/14,979.74 = 9,530.39/x
  3. Step 3: Cross multiply
    10,057.32x = 14,979.74 × 9,530.39
  4. Step 4: Simplify right side
    10,057.32x = 142,762,754.10
  5. Step 5: Solve for x
    x = 142,762,754.10/10,057.32
  6. Step 6: Final answer
    x = 14,194.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.