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Finding the Fourth Proportional to 9,962.23, 14,945.69 and 5,582.71

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Solution

The fourth proportional to 9,962.23, 14,945.69 and 5,582.71 is: 8,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.23 : 14,945.69 = 5,582.71 : x
  2. Step 2: Convert to fraction form
    9,962.23/14,945.69 = 5,582.71/x
  3. Step 3: Cross multiply
    9,962.23x = 14,945.69 × 5,582.71
  4. Step 4: Simplify right side
    9,962.23x = 83,437,425.11
  5. Step 5: Solve for x
    x = 83,437,425.11/9,962.23
  6. Step 6: Final answer
    x = 8,375.38

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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.