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Finding the Fourth Proportional to 6,577.64, 9,866.14 and 2,417.33

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Solution

The fourth proportional to 6,577.64, 9,866.14 and 2,417.33 is: 3,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.64 : 9,866.14 = 2,417.33 : x
  2. Step 2: Convert to fraction form
    6,577.64/9,866.14 = 2,417.33/x
  3. Step 3: Cross multiply
    6,577.64x = 9,866.14 × 2,417.33
  4. Step 4: Simplify right side
    6,577.64x = 23,849,710.16
  5. Step 5: Solve for x
    x = 23,849,710.16/6,577.64
  6. Step 6: Final answer
    x = 3,625.88

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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.