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Finding the Fourth Proportional to 6,577.25, 9,870.17 and 2,417.29

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Solution

The fourth proportional to 6,577.25, 9,870.17 and 2,417.29 is: 3,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.25 : 9,870.17 = 2,417.29 : x
  2. Step 2: Convert to fraction form
    6,577.25/9,870.17 = 2,417.29/x
  3. Step 3: Cross multiply
    6,577.25x = 9,870.17 × 2,417.29
  4. Step 4: Simplify right side
    6,577.25x = 23,859,026.48
  5. Step 5: Solve for x
    x = 23,859,026.48/6,577.25
  6. Step 6: Final answer
    x = 3,627.51

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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.