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Finding the Fourth Proportional to 9,962.40, 14,952.82 and 5,035.49

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Solution

The fourth proportional to 9,962.40, 14,952.82 and 5,035.49 is: 7,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.40 : 14,952.82 = 5,035.49 : x
  2. Step 2: Convert to fraction form
    9,962.40/14,952.82 = 5,035.49/x
  3. Step 3: Cross multiply
    9,962.40x = 14,952.82 × 5,035.49
  4. Step 4: Simplify right side
    9,962.40x = 75,294,775.58
  5. Step 5: Solve for x
    x = 75,294,775.58/9,962.40
  6. Step 6: Final answer
    x = 7,557.90

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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.