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Finding the Fourth Proportional to 9,010.81, 12,434.38 and 5,032.18

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Solution

The fourth proportional to 9,010.81, 12,434.38 and 5,032.18 is: 6,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.81 : 12,434.38 = 5,032.18 : x
  2. Step 2: Convert to fraction form
    9,010.81/12,434.38 = 5,032.18/x
  3. Step 3: Cross multiply
    9,010.81x = 12,434.38 × 5,032.18
  4. Step 4: Simplify right side
    9,010.81x = 62,572,038.35
  5. Step 5: Solve for x
    x = 62,572,038.35/9,010.81
  6. Step 6: Final answer
    x = 6,944.11

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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.