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Finding the Fourth Proportional to 6,156.32, 9,234.48 and 4,089.68

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Solution

The fourth proportional to 6,156.32, 9,234.48 and 4,089.68 is: 6,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.32 : 9,234.48 = 4,089.68 : x
  2. Step 2: Convert to fraction form
    6,156.32/9,234.48 = 4,089.68/x
  3. Step 3: Cross multiply
    6,156.32x = 9,234.48 × 4,089.68
  4. Step 4: Simplify right side
    6,156.32x = 37,766,068.17
  5. Step 5: Solve for x
    x = 37,766,068.17/6,156.32
  6. Step 6: Final answer
    x = 6,134.52

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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.