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Finding the Fourth Proportional to 9,776.80, 14,672.40 and 3,937.60

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Solution

The fourth proportional to 9,776.80, 14,672.40 and 3,937.60 is: 5,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.80 : 14,672.40 = 3,937.60 : x
  2. Step 2: Convert to fraction form
    9,776.80/14,672.40 = 3,937.60/x
  3. Step 3: Cross multiply
    9,776.80x = 14,672.40 × 3,937.60
  4. Step 4: Simplify right side
    9,776.80x = 57,774,042.24
  5. Step 5: Solve for x
    x = 57,774,042.24/9,776.80
  6. Step 6: Final answer
    x = 5,909.30

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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.