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Finding the Fourth Proportional to 9,617.80, 14,426.70 and 8,840.20

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Solution

The fourth proportional to 9,617.80, 14,426.70 and 8,840.20 is: 13,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.80 : 14,426.70 = 8,840.20 : x
  2. Step 2: Convert to fraction form
    9,617.80/14,426.70 = 8,840.20/x
  3. Step 3: Cross multiply
    9,617.80x = 14,426.70 × 8,840.20
  4. Step 4: Simplify right side
    9,617.80x = 127,534,913.34
  5. Step 5: Solve for x
    x = 127,534,913.34/9,617.80
  6. Step 6: Final answer
    x = 13,260.30

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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.