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Finding the Fourth Proportional to 9,387.56, 14,053.28 and 5,678.58

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Solution

The fourth proportional to 9,387.56, 14,053.28 and 5,678.58 is: 8,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.56 : 14,053.28 = 5,678.58 : x
  2. Step 2: Convert to fraction form
    9,387.56/14,053.28 = 5,678.58/x
  3. Step 3: Cross multiply
    9,387.56x = 14,053.28 × 5,678.58
  4. Step 4: Simplify right side
    9,387.56x = 79,802,674.74
  5. Step 5: Solve for x
    x = 79,802,674.74/9,387.56
  6. Step 6: Final answer
    x = 8,500.90

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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.