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Finding the Fourth Proportional to 10,269.40, 15,365.70 and 9,347.80

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Solution

The fourth proportional to 10,269.40, 15,365.70 and 9,347.80 is: 13,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.40 : 15,365.70 = 9,347.80 : x
  2. Step 2: Convert to fraction form
    10,269.40/15,365.70 = 9,347.80/x
  3. Step 3: Cross multiply
    10,269.40x = 15,365.70 × 9,347.80
  4. Step 4: Simplify right side
    10,269.40x = 143,635,490.46
  5. Step 5: Solve for x
    x = 143,635,490.46/10,269.40
  6. Step 6: Final answer
    x = 13,986.75

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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.