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Finding the Fourth Proportional to 9,056.34, 12,493.98 and 6,402.78

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Solution

The fourth proportional to 9,056.34, 12,493.98 and 6,402.78 is: 8,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.34 : 12,493.98 = 6,402.78 : x
  2. Step 2: Convert to fraction form
    9,056.34/12,493.98 = 6,402.78/x
  3. Step 3: Cross multiply
    9,056.34x = 12,493.98 × 6,402.78
  4. Step 4: Simplify right side
    9,056.34x = 79,996,205.26
  5. Step 5: Solve for x
    x = 79,996,205.26/9,056.34
  6. Step 6: Final answer
    x = 8,833.17

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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.