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Finding the Fourth Proportional to 9,242.04, 12,754.54 and 5,705.31

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Solution

The fourth proportional to 9,242.04, 12,754.54 and 5,705.31 is: 7,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.04 : 12,754.54 = 5,705.31 : x
  2. Step 2: Convert to fraction form
    9,242.04/12,754.54 = 5,705.31/x
  3. Step 3: Cross multiply
    9,242.04x = 12,754.54 × 5,705.31
  4. Step 4: Simplify right side
    9,242.04x = 72,768,604.61
  5. Step 5: Solve for x
    x = 72,768,604.61/9,242.04
  6. Step 6: Final answer
    x = 7,873.65

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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.