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Finding the Fourth Proportional to 9,849.90, 14,729.90 and 7,352.81

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Solution

The fourth proportional to 9,849.90, 14,729.90 and 7,352.81 is: 10,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.90 : 14,729.90 = 7,352.81 : x
  2. Step 2: Convert to fraction form
    9,849.90/14,729.90 = 7,352.81/x
  3. Step 3: Cross multiply
    9,849.90x = 14,729.90 × 7,352.81
  4. Step 4: Simplify right side
    9,849.90x = 108,306,045.61
  5. Step 5: Solve for x
    x = 108,306,045.61/9,849.90
  6. Step 6: Final answer
    x = 10,995.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.