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Finding the Fourth Proportional to 6,498.48, 9,747.72 and 5,934.72

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Solution

The fourth proportional to 6,498.48, 9,747.72 and 5,934.72 is: 8,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.48 : 9,747.72 = 5,934.72 : x
  2. Step 2: Convert to fraction form
    6,498.48/9,747.72 = 5,934.72/x
  3. Step 3: Cross multiply
    6,498.48x = 9,747.72 × 5,934.72
  4. Step 4: Simplify right side
    6,498.48x = 57,849,988.84
  5. Step 5: Solve for x
    x = 57,849,988.84/6,498.48
  6. Step 6: Final answer
    x = 8,902.08

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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.