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Finding the Fourth Proportional to 7,006.72, 9,671.52 and 5,585.44

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Solution

The fourth proportional to 7,006.72, 9,671.52 and 5,585.44 is: 7,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.72 : 9,671.52 = 5,585.44 : x
  2. Step 2: Convert to fraction form
    7,006.72/9,671.52 = 5,585.44/x
  3. Step 3: Cross multiply
    7,006.72x = 9,671.52 × 5,585.44
  4. Step 4: Simplify right side
    7,006.72x = 54,019,694.67
  5. Step 5: Solve for x
    x = 54,019,694.67/7,006.72
  6. Step 6: Final answer
    x = 7,709.70

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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.