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Finding the Fourth Proportional to 9,437.40, 14,144.25 and 8,264.62

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Solution

The fourth proportional to 9,437.40, 14,144.25 and 8,264.62 is: 12,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.40 : 14,144.25 = 8,264.62 : x
  2. Step 2: Convert to fraction form
    9,437.40/14,144.25 = 8,264.62/x
  3. Step 3: Cross multiply
    9,437.40x = 14,144.25 × 8,264.62
  4. Step 4: Simplify right side
    9,437.40x = 116,896,851.44
  5. Step 5: Solve for x
    x = 116,896,851.44/9,437.40
  6. Step 6: Final answer
    x = 12,386.55

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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.