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Finding the Fourth Proportional to 9,778.58, 14,671.23 and 2,854.10

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Solution

The fourth proportional to 9,778.58, 14,671.23 and 2,854.10 is: 4,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.58 : 14,671.23 = 2,854.10 : x
  2. Step 2: Convert to fraction form
    9,778.58/14,671.23 = 2,854.10/x
  3. Step 3: Cross multiply
    9,778.58x = 14,671.23 × 2,854.10
  4. Step 4: Simplify right side
    9,778.58x = 41,873,157.54
  5. Step 5: Solve for x
    x = 41,873,157.54/9,778.58
  6. Step 6: Final answer
    x = 4,282.13

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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.