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Finding the Fourth Proportional to 9,763.34, 13,469.90 and 5,569.16

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Solution

The fourth proportional to 9,763.34, 13,469.90 and 5,569.16 is: 7,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.34 : 13,469.90 = 5,569.16 : x
  2. Step 2: Convert to fraction form
    9,763.34/13,469.90 = 5,569.16/x
  3. Step 3: Cross multiply
    9,763.34x = 13,469.90 × 5,569.16
  4. Step 4: Simplify right side
    9,763.34x = 75,016,028.28
  5. Step 5: Solve for x
    x = 75,016,028.28/9,763.34
  6. Step 6: Final answer
    x = 7,683.44

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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.