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Finding the Fourth Proportional to 9,604.80, 14,374.80 and 8,438.40

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Solution

The fourth proportional to 9,604.80, 14,374.80 and 8,438.40 is: 12,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.80 : 14,374.80 = 8,438.40 : x
  2. Step 2: Convert to fraction form
    9,604.80/14,374.80 = 8,438.40/x
  3. Step 3: Cross multiply
    9,604.80x = 14,374.80 × 8,438.40
  4. Step 4: Simplify right side
    9,604.80x = 121,300,312.32
  5. Step 5: Solve for x
    x = 121,300,312.32/9,604.80
  6. Step 6: Final answer
    x = 12,629.13

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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.