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Finding the Fourth Proportional to 6,656.91, 9,184.72 and 4,139.13

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Solution

The fourth proportional to 6,656.91, 9,184.72 and 4,139.13 is: 5,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.91 : 9,184.72 = 4,139.13 : x
  2. Step 2: Convert to fraction form
    6,656.91/9,184.72 = 4,139.13/x
  3. Step 3: Cross multiply
    6,656.91x = 9,184.72 × 4,139.13
  4. Step 4: Simplify right side
    6,656.91x = 38,016,692.81
  5. Step 5: Solve for x
    x = 38,016,692.81/6,656.91
  6. Step 6: Final answer
    x = 5,710.86

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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.