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Finding the Fourth Proportional to 6,701.72, 9,248.54 and 4,047.57

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Solution

The fourth proportional to 6,701.72, 9,248.54 and 4,047.57 is: 5,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.72 : 9,248.54 = 4,047.57 : x
  2. Step 2: Convert to fraction form
    6,701.72/9,248.54 = 4,047.57/x
  3. Step 3: Cross multiply
    6,701.72x = 9,248.54 × 4,047.57
  4. Step 4: Simplify right side
    6,701.72x = 37,434,092.81
  5. Step 5: Solve for x
    x = 37,434,092.81/6,701.72
  6. Step 6: Final answer
    x = 5,585.75

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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.