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Finding the Fourth Proportional to 9,884.42, 13,639.91 and 5,407.28

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Solution

The fourth proportional to 9,884.42, 13,639.91 and 5,407.28 is: 7,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.42 : 13,639.91 = 5,407.28 : x
  2. Step 2: Convert to fraction form
    9,884.42/13,639.91 = 5,407.28/x
  3. Step 3: Cross multiply
    9,884.42x = 13,639.91 × 5,407.28
  4. Step 4: Simplify right side
    9,884.42x = 73,754,744.35
  5. Step 5: Solve for x
    x = 73,754,744.35/9,884.42
  6. Step 6: Final answer
    x = 7,461.72

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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.