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Finding the Fourth Proportional to 9,014.84, 12,422.76 and 6,892.77

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Solution

The fourth proportional to 9,014.84, 12,422.76 and 6,892.77 is: 9,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.84 : 12,422.76 = 6,892.77 : x
  2. Step 2: Convert to fraction form
    9,014.84/12,422.76 = 6,892.77/x
  3. Step 3: Cross multiply
    9,014.84x = 12,422.76 × 6,892.77
  4. Step 4: Simplify right side
    9,014.84x = 85,627,248.18
  5. Step 5: Solve for x
    x = 85,627,248.18/9,014.84
  6. Step 6: Final answer
    x = 9,498.48

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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.