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Finding the Fourth Proportional to 9,615.64, 13,269.18 and 5,424.28

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Solution

The fourth proportional to 9,615.64, 13,269.18 and 5,424.28 is: 7,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.64 : 13,269.18 = 5,424.28 : x
  2. Step 2: Convert to fraction form
    9,615.64/13,269.18 = 5,424.28/x
  3. Step 3: Cross multiply
    9,615.64x = 13,269.18 × 5,424.28
  4. Step 4: Simplify right side
    9,615.64x = 71,975,747.69
  5. Step 5: Solve for x
    x = 71,975,747.69/9,615.64
  6. Step 6: Final answer
    x = 7,485.28

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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.