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Finding the Fourth Proportional to 6,605.64, 9,107.87 and 5,707.76

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Solution

The fourth proportional to 6,605.64, 9,107.87 and 5,707.76 is: 7,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.64 : 9,107.87 = 5,707.76 : x
  2. Step 2: Convert to fraction form
    6,605.64/9,107.87 = 5,707.76/x
  3. Step 3: Cross multiply
    6,605.64x = 9,107.87 × 5,707.76
  4. Step 4: Simplify right side
    6,605.64x = 51,985,461.99
  5. Step 5: Solve for x
    x = 51,985,461.99/6,605.64
  6. Step 6: Final answer
    x = 7,869.86

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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.