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Finding the Fourth Proportional to 6,595.89, 9,097.02 and 5,107.83

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Solution

The fourth proportional to 6,595.89, 9,097.02 and 5,107.83 is: 7,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.89 : 9,097.02 = 5,107.83 : x
  2. Step 2: Convert to fraction form
    6,595.89/9,097.02 = 5,107.83/x
  3. Step 3: Cross multiply
    6,595.89x = 9,097.02 × 5,107.83
  4. Step 4: Simplify right side
    6,595.89x = 46,466,031.67
  5. Step 5: Solve for x
    x = 46,466,031.67/6,595.89
  6. Step 6: Final answer
    x = 7,044.69

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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.