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Finding the Fourth Proportional to 9,497.70, 14,247.36 and 2,478.65

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Solution

The fourth proportional to 9,497.70, 14,247.36 and 2,478.65 is: 3,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.70 : 14,247.36 = 2,478.65 : x
  2. Step 2: Convert to fraction form
    9,497.70/14,247.36 = 2,478.65/x
  3. Step 3: Cross multiply
    9,497.70x = 14,247.36 × 2,478.65
  4. Step 4: Simplify right side
    9,497.70x = 35,314,147.63
  5. Step 5: Solve for x
    x = 35,314,147.63/9,497.70
  6. Step 6: Final answer
    x = 3,718.18

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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.