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Finding the Fourth Proportional to 9,338.82, 12,875.20 and 7,544.28

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Solution

The fourth proportional to 9,338.82, 12,875.20 and 7,544.28 is: 10,401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.82 : 12,875.20 = 7,544.28 : x
  2. Step 2: Convert to fraction form
    9,338.82/12,875.20 = 7,544.28/x
  3. Step 3: Cross multiply
    9,338.82x = 12,875.20 × 7,544.28
  4. Step 4: Simplify right side
    9,338.82x = 97,134,113.86
  5. Step 5: Solve for x
    x = 97,134,113.86/9,338.82
  6. Step 6: Final answer
    x = 10,401.11

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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.