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Finding the Fourth Proportional to 6,459.30, 9,677.26 and 2,952.26

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Solution

The fourth proportional to 6,459.30, 9,677.26 and 2,952.26 is: 4,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.30 : 9,677.26 = 2,952.26 : x
  2. Step 2: Convert to fraction form
    6,459.30/9,677.26 = 2,952.26/x
  3. Step 3: Cross multiply
    6,459.30x = 9,677.26 × 2,952.26
  4. Step 4: Simplify right side
    6,459.30x = 28,569,787.61
  5. Step 5: Solve for x
    x = 28,569,787.61/6,459.30
  6. Step 6: Final answer
    x = 4,423.05

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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.