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Finding the Fourth Proportional to 10,703.46, 14,755.95 and 9,227.10

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Solution

The fourth proportional to 10,703.46, 14,755.95 and 9,227.10 is: 12,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.46 : 14,755.95 = 9,227.10 : x
  2. Step 2: Convert to fraction form
    10,703.46/14,755.95 = 9,227.10/x
  3. Step 3: Cross multiply
    10,703.46x = 14,755.95 × 9,227.10
  4. Step 4: Simplify right side
    10,703.46x = 136,154,626.25
  5. Step 5: Solve for x
    x = 136,154,626.25/10,703.46
  6. Step 6: Final answer
    x = 12,720.62

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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.