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Finding the Fourth Proportional to 6,724.77, 9,278.65 and 4,071.61

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Solution

The fourth proportional to 6,724.77, 9,278.65 and 4,071.61 is: 5,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.77 : 9,278.65 = 4,071.61 : x
  2. Step 2: Convert to fraction form
    6,724.77/9,278.65 = 4,071.61/x
  3. Step 3: Cross multiply
    6,724.77x = 9,278.65 × 4,071.61
  4. Step 4: Simplify right side
    6,724.77x = 37,779,044.13
  5. Step 5: Solve for x
    x = 37,779,044.13/6,724.77
  6. Step 6: Final answer
    x = 5,617.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.