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Finding the Fourth Proportional to 9,459.40, 14,189.10 and 6,980.80

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Solution

The fourth proportional to 9,459.40, 14,189.10 and 6,980.80 is: 10,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.40 : 14,189.10 = 6,980.80 : x
  2. Step 2: Convert to fraction form
    9,459.40/14,189.10 = 6,980.80/x
  3. Step 3: Cross multiply
    9,459.40x = 14,189.10 × 6,980.80
  4. Step 4: Simplify right side
    9,459.40x = 99,051,269.28
  5. Step 5: Solve for x
    x = 99,051,269.28/9,459.40
  6. Step 6: Final answer
    x = 10,471.20

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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.