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Finding the Fourth Proportional to 6,070.17, 9,102.71 and 2,561.76

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Solution

The fourth proportional to 6,070.17, 9,102.71 and 2,561.76 is: 3,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.17 : 9,102.71 = 2,561.76 : x
  2. Step 2: Convert to fraction form
    6,070.17/9,102.71 = 2,561.76/x
  3. Step 3: Cross multiply
    6,070.17x = 9,102.71 × 2,561.76
  4. Step 4: Simplify right side
    6,070.17x = 23,318,964.77
  5. Step 5: Solve for x
    x = 23,318,964.77/6,070.17
  6. Step 6: Final answer
    x = 3,841.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.