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Finding the Fourth Proportional to 9,780.30, 14,671.48 and 2,854.82

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Solution

The fourth proportional to 9,780.30, 14,671.48 and 2,854.82 is: 4,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.30 : 14,671.48 = 2,854.82 : x
  2. Step 2: Convert to fraction form
    9,780.30/14,671.48 = 2,854.82/x
  3. Step 3: Cross multiply
    9,780.30x = 14,671.48 × 2,854.82
  4. Step 4: Simplify right side
    9,780.30x = 41,884,434.53
  5. Step 5: Solve for x
    x = 41,884,434.53/9,780.30
  6. Step 6: Final answer
    x = 4,282.53

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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.