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Finding the Fourth Proportional to 6,595.52, 9,097.44 and 4,107.20

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Solution

The fourth proportional to 6,595.52, 9,097.44 and 4,107.20 is: 5,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.52 : 9,097.44 = 4,107.20 : x
  2. Step 2: Convert to fraction form
    6,595.52/9,097.44 = 4,107.20/x
  3. Step 3: Cross multiply
    6,595.52x = 9,097.44 × 4,107.20
  4. Step 4: Simplify right side
    6,595.52x = 37,365,005.57
  5. Step 5: Solve for x
    x = 37,365,005.57/6,595.52
  6. Step 6: Final answer
    x = 5,665.21

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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.