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Finding the Fourth Proportional to 9,641.54, 14,458.66 and 5,256.61

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Solution

The fourth proportional to 9,641.54, 14,458.66 and 5,256.61 is: 7,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.54 : 14,458.66 = 5,256.61 : x
  2. Step 2: Convert to fraction form
    9,641.54/14,458.66 = 5,256.61/x
  3. Step 3: Cross multiply
    9,641.54x = 14,458.66 × 5,256.61
  4. Step 4: Simplify right side
    9,641.54x = 76,003,536.74
  5. Step 5: Solve for x
    x = 76,003,536.74/9,641.54
  6. Step 6: Final answer
    x = 7,882.93

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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.