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Finding the Fourth Proportional to 6,089.78, 9,134.64 and 1,472.78

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Solution

The fourth proportional to 6,089.78, 9,134.64 and 1,472.78 is: 2,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.78 : 9,134.64 = 1,472.78 : x
  2. Step 2: Convert to fraction form
    6,089.78/9,134.64 = 1,472.78/x
  3. Step 3: Cross multiply
    6,089.78x = 9,134.64 × 1,472.78
  4. Step 4: Simplify right side
    6,089.78x = 13,453,315.10
  5. Step 5: Solve for x
    x = 13,453,315.10/6,089.78
  6. Step 6: Final answer
    x = 2,209.16

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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.