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Finding the Fourth Proportional to 9,854.35, 14,780.91 and 4,010.80

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Solution

The fourth proportional to 9,854.35, 14,780.91 and 4,010.80 is: 6,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.35 : 14,780.91 = 4,010.80 : x
  2. Step 2: Convert to fraction form
    9,854.35/14,780.91 = 4,010.80/x
  3. Step 3: Cross multiply
    9,854.35x = 14,780.91 × 4,010.80
  4. Step 4: Simplify right side
    9,854.35x = 59,283,273.83
  5. Step 5: Solve for x
    x = 59,283,273.83/9,854.35
  6. Step 6: Final answer
    x = 6,015.95

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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.