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Finding the Fourth Proportional to 10,529.77, 15,714.07 and 9,406.58

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Solution

The fourth proportional to 10,529.77, 15,714.07 and 9,406.58 is: 14,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.77 : 15,714.07 = 9,406.58 : x
  2. Step 2: Convert to fraction form
    10,529.77/15,714.07 = 9,406.58/x
  3. Step 3: Cross multiply
    10,529.77x = 15,714.07 × 9,406.58
  4. Step 4: Simplify right side
    10,529.77x = 147,815,553.39
  5. Step 5: Solve for x
    x = 147,815,553.39/10,529.77
  6. Step 6: Final answer
    x = 14,037.87

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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.