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Finding the Fourth Proportional to 10,042.89, 14,974.54 and 9,767.02

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Solution

The fourth proportional to 10,042.89, 14,974.54 and 9,767.02 is: 14,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.89 : 14,974.54 = 9,767.02 : x
  2. Step 2: Convert to fraction form
    10,042.89/14,974.54 = 9,767.02/x
  3. Step 3: Cross multiply
    10,042.89x = 14,974.54 × 9,767.02
  4. Step 4: Simplify right side
    10,042.89x = 146,256,631.67
  5. Step 5: Solve for x
    x = 146,256,631.67/10,042.89
  6. Step 6: Final answer
    x = 14,563.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.