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Finding the Fourth Proportional to 7,008.60, 9,677.70 and 6,261.24

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Solution

The fourth proportional to 7,008.60, 9,677.70 and 6,261.24 is: 8,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.60 : 9,677.70 = 6,261.24 : x
  2. Step 2: Convert to fraction form
    7,008.60/9,677.70 = 6,261.24/x
  3. Step 3: Cross multiply
    7,008.60x = 9,677.70 × 6,261.24
  4. Step 4: Simplify right side
    7,008.60x = 60,594,402.35
  5. Step 5: Solve for x
    x = 60,594,402.35/7,008.60
  6. Step 6: Final answer
    x = 8,645.72

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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.