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Finding the Fourth Proportional to 10,705.46, 14,758.70 and 9,229.10

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Solution

The fourth proportional to 10,705.46, 14,758.70 and 9,229.10 is: 12,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.46 : 14,758.70 = 9,229.10 : x
  2. Step 2: Convert to fraction form
    10,705.46/14,758.70 = 9,229.10/x
  3. Step 3: Cross multiply
    10,705.46x = 14,758.70 × 9,229.10
  4. Step 4: Simplify right side
    10,705.46x = 136,209,518.17
  5. Step 5: Solve for x
    x = 136,209,518.17/10,705.46
  6. Step 6: Final answer
    x = 12,723.37

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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.