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Finding the Fourth Proportional to 9,262.24, 13,894.24 and 3,417.44

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Solution

The fourth proportional to 9,262.24, 13,894.24 and 3,417.44 is: 5,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.24 : 13,894.24 = 3,417.44 : x
  2. Step 2: Convert to fraction form
    9,262.24/13,894.24 = 3,417.44/x
  3. Step 3: Cross multiply
    9,262.24x = 13,894.24 × 3,417.44
  4. Step 4: Simplify right side
    9,262.24x = 47,482,731.55
  5. Step 5: Solve for x
    x = 47,482,731.55/9,262.24
  6. Step 6: Final answer
    x = 5,126.48

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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.