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Finding the Fourth Proportional to 9,818.40, 13,549.20 and 5,569.14

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Solution

The fourth proportional to 9,818.40, 13,549.20 and 5,569.14 is: 7,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.40 : 13,549.20 = 5,569.14 : x
  2. Step 2: Convert to fraction form
    9,818.40/13,549.20 = 5,569.14/x
  3. Step 3: Cross multiply
    9,818.40x = 13,549.20 × 5,569.14
  4. Step 4: Simplify right side
    9,818.40x = 75,457,391.69
  5. Step 5: Solve for x
    x = 75,457,391.69/9,818.40
  6. Step 6: Final answer
    x = 7,685.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.