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Finding the Fourth Proportional to 9,110.47, 12,572.76 and 5,333.98

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Solution

The fourth proportional to 9,110.47, 12,572.76 and 5,333.98 is: 7,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.47 : 12,572.76 = 5,333.98 : x
  2. Step 2: Convert to fraction form
    9,110.47/12,572.76 = 5,333.98/x
  3. Step 3: Cross multiply
    9,110.47x = 12,572.76 × 5,333.98
  4. Step 4: Simplify right side
    9,110.47x = 67,062,850.38
  5. Step 5: Solve for x
    x = 67,062,850.38/9,110.47
  6. Step 6: Final answer
    x = 7,361.07

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Why These Related Problems?

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