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Finding the Fourth Proportional to 9,672.80, 14,508.80 and 3,098.84

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Solution

The fourth proportional to 9,672.80, 14,508.80 and 3,098.84 is: 4,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.80 : 14,508.80 = 3,098.84 : x
  2. Step 2: Convert to fraction form
    9,672.80/14,508.80 = 3,098.84/x
  3. Step 3: Cross multiply
    9,672.80x = 14,508.80 × 3,098.84
  4. Step 4: Simplify right side
    9,672.80x = 44,960,482.19
  5. Step 5: Solve for x
    x = 44,960,482.19/9,672.80
  6. Step 6: Final answer
    x = 4,648.13

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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.