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Finding the Fourth Proportional to 9,641.28, 14,455.62 and 6,344.34

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Solution

The fourth proportional to 9,641.28, 14,455.62 and 6,344.34 is: 9,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.28 : 14,455.62 = 6,344.34 : x
  2. Step 2: Convert to fraction form
    9,641.28/14,455.62 = 6,344.34/x
  3. Step 3: Cross multiply
    9,641.28x = 14,455.62 × 6,344.34
  4. Step 4: Simplify right side
    9,641.28x = 91,711,368.19
  5. Step 5: Solve for x
    x = 91,711,368.19/9,641.28
  6. Step 6: Final answer
    x = 9,512.36

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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.