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Finding the Fourth Proportional to 9,853.92, 14,781.60 and 4,010.40

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Solution

The fourth proportional to 9,853.92, 14,781.60 and 4,010.40 is: 6,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.92 : 14,781.60 = 4,010.40 : x
  2. Step 2: Convert to fraction form
    9,853.92/14,781.60 = 4,010.40/x
  3. Step 3: Cross multiply
    9,853.92x = 14,781.60 × 4,010.40
  4. Step 4: Simplify right side
    9,853.92x = 59,280,128.64
  5. Step 5: Solve for x
    x = 59,280,128.64/9,853.92
  6. Step 6: Final answer
    x = 6,015.89

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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.