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Finding the Fourth Proportional to 9,881.56, 14,822.37 and 4,038.17

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Solution

The fourth proportional to 9,881.56, 14,822.37 and 4,038.17 is: 6,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.56 : 14,822.37 = 4,038.17 : x
  2. Step 2: Convert to fraction form
    9,881.56/14,822.37 = 4,038.17/x
  3. Step 3: Cross multiply
    9,881.56x = 14,822.37 × 4,038.17
  4. Step 4: Simplify right side
    9,881.56x = 59,855,229.67
  5. Step 5: Solve for x
    x = 59,855,229.67/9,881.56
  6. Step 6: Final answer
    x = 6,057.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.