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Finding the Fourth Proportional to 10,315.74, 15,445.53 and 9,641.82

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Solution

The fourth proportional to 10,315.74, 15,445.53 and 9,641.82 is: 14,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.74 : 15,445.53 = 9,641.82 : x
  2. Step 2: Convert to fraction form
    10,315.74/15,445.53 = 9,641.82/x
  3. Step 3: Cross multiply
    10,315.74x = 15,445.53 × 9,641.82
  4. Step 4: Simplify right side
    10,315.74x = 148,923,020.06
  5. Step 5: Solve for x
    x = 148,923,020.06/10,315.74
  6. Step 6: Final answer
    x = 14,436.48

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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.