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Finding the Fourth Proportional to 6,566.30, 9,061.27 and 3,913.66

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Solution

The fourth proportional to 6,566.30, 9,061.27 and 3,913.66 is: 5,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.30 : 9,061.27 = 3,913.66 : x
  2. Step 2: Convert to fraction form
    6,566.30/9,061.27 = 3,913.66/x
  3. Step 3: Cross multiply
    6,566.30x = 9,061.27 × 3,913.66
  4. Step 4: Simplify right side
    6,566.30x = 35,462,729.95
  5. Step 5: Solve for x
    x = 35,462,729.95/6,566.30
  6. Step 6: Final answer
    x = 5,400.72

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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.