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Finding the Fourth Proportional to 9,640.80, 14,461.20 and 5,482.08

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Solution

The fourth proportional to 9,640.80, 14,461.20 and 5,482.08 is: 8,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.80 : 14,461.20 = 5,482.08 : x
  2. Step 2: Convert to fraction form
    9,640.80/14,461.20 = 5,482.08/x
  3. Step 3: Cross multiply
    9,640.80x = 14,461.20 × 5,482.08
  4. Step 4: Simplify right side
    9,640.80x = 79,277,455.30
  5. Step 5: Solve for x
    x = 79,277,455.30/9,640.80
  6. Step 6: Final answer
    x = 8,223.12

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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.