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Finding the Fourth Proportional to 9,122.74, 13,699.75 and 5,633.39

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Solution

The fourth proportional to 9,122.74, 13,699.75 and 5,633.39 is: 8,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.74 : 13,699.75 = 5,633.39 : x
  2. Step 2: Convert to fraction form
    9,122.74/13,699.75 = 5,633.39/x
  3. Step 3: Cross multiply
    9,122.74x = 13,699.75 × 5,633.39
  4. Step 4: Simplify right side
    9,122.74x = 77,176,006.49
  5. Step 5: Solve for x
    x = 77,176,006.49/9,122.74
  6. Step 6: Final answer
    x = 8,459.74

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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.