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Finding the Fourth Proportional to 6,473.95, 9,711.56 and 2,577.45

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Solution

The fourth proportional to 6,473.95, 9,711.56 and 2,577.45 is: 3,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.95 : 9,711.56 = 2,577.45 : x
  2. Step 2: Convert to fraction form
    6,473.95/9,711.56 = 2,577.45/x
  3. Step 3: Cross multiply
    6,473.95x = 9,711.56 × 2,577.45
  4. Step 4: Simplify right side
    6,473.95x = 25,031,060.32
  5. Step 5: Solve for x
    x = 25,031,060.32/6,473.95
  6. Step 6: Final answer
    x = 3,866.43

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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.