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Finding the Fourth Proportional to 9,879.40, 14,822.70 and 4,040.20

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Solution

The fourth proportional to 9,879.40, 14,822.70 and 4,040.20 is: 6,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.40 : 14,822.70 = 4,040.20 : x
  2. Step 2: Convert to fraction form
    9,879.40/14,822.70 = 4,040.20/x
  3. Step 3: Cross multiply
    9,879.40x = 14,822.70 × 4,040.20
  4. Step 4: Simplify right side
    9,879.40x = 59,886,672.54
  5. Step 5: Solve for x
    x = 59,886,672.54/9,879.40
  6. Step 6: Final answer
    x = 6,061.77

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