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Finding the Fourth Proportional to 9,378.45, 12,946.96 and 7,249.17

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Solution

The fourth proportional to 9,378.45, 12,946.96 and 7,249.17 is: 10,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.45 : 12,946.96 = 7,249.17 : x
  2. Step 2: Convert to fraction form
    9,378.45/12,946.96 = 7,249.17/x
  3. Step 3: Cross multiply
    9,378.45x = 12,946.96 × 7,249.17
  4. Step 4: Simplify right side
    9,378.45x = 93,854,714.02
  5. Step 5: Solve for x
    x = 93,854,714.02/9,378.45
  6. Step 6: Final answer
    x = 10,007.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.