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Finding the Fourth Proportional to 9,065.66, 12,510.42 and 5,032.24

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Solution

The fourth proportional to 9,065.66, 12,510.42 and 5,032.24 is: 6,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.66 : 12,510.42 = 5,032.24 : x
  2. Step 2: Convert to fraction form
    9,065.66/12,510.42 = 5,032.24/x
  3. Step 3: Cross multiply
    9,065.66x = 12,510.42 × 5,032.24
  4. Step 4: Simplify right side
    9,065.66x = 62,955,435.94
  5. Step 5: Solve for x
    x = 62,955,435.94/9,065.66
  6. Step 6: Final answer
    x = 6,944.39

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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.