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Finding the Fourth Proportional to 9,883.92, 14,828.27 and 4,040.53

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Solution

The fourth proportional to 9,883.92, 14,828.27 and 4,040.53 is: 6,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.92 : 14,828.27 = 4,040.53 : x
  2. Step 2: Convert to fraction form
    9,883.92/14,828.27 = 4,040.53/x
  3. Step 3: Cross multiply
    9,883.92x = 14,828.27 × 4,040.53
  4. Step 4: Simplify right side
    9,883.92x = 59,914,095.92
  5. Step 5: Solve for x
    x = 59,914,095.92/9,883.92
  6. Step 6: Final answer
    x = 6,061.77

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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.