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Finding the Fourth Proportional to 9,478.67, 14,206.13 and 7,295.63

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Solution

The fourth proportional to 9,478.67, 14,206.13 and 7,295.63 is: 10,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.67 : 14,206.13 = 7,295.63 : x
  2. Step 2: Convert to fraction form
    9,478.67/14,206.13 = 7,295.63/x
  3. Step 3: Cross multiply
    9,478.67x = 14,206.13 × 7,295.63
  4. Step 4: Simplify right side
    9,478.67x = 103,642,631.73
  5. Step 5: Solve for x
    x = 103,642,631.73/9,478.67
  6. Step 6: Final answer
    x = 10,934.30

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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.