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Finding the Fourth Proportional to 9,714.06, 14,537.07 and 7,242.75

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Solution

The fourth proportional to 9,714.06, 14,537.07 and 7,242.75 is: 10,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.06 : 14,537.07 = 7,242.75 : x
  2. Step 2: Convert to fraction form
    9,714.06/14,537.07 = 7,242.75/x
  3. Step 3: Cross multiply
    9,714.06x = 14,537.07 × 7,242.75
  4. Step 4: Simplify right side
    9,714.06x = 105,288,363.74
  5. Step 5: Solve for x
    x = 105,288,363.74/9,714.06
  6. Step 6: Final answer
    x = 10,838.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.