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Finding the Fourth Proportional to 9,410.80, 14,132.40 and 6,656.80

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Solution

The fourth proportional to 9,410.80, 14,132.40 and 6,656.80 is: 9,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.80 : 14,132.40 = 6,656.80 : x
  2. Step 2: Convert to fraction form
    9,410.80/14,132.40 = 6,656.80/x
  3. Step 3: Cross multiply
    9,410.80x = 14,132.40 × 6,656.80
  4. Step 4: Simplify right side
    9,410.80x = 94,076,560.32
  5. Step 5: Solve for x
    x = 94,076,560.32/9,410.80
  6. Step 6: Final answer
    x = 9,996.66

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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.