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Finding the Fourth Proportional to 9,641.40, 14,440.50 and 5,931.60

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Solution

The fourth proportional to 9,641.40, 14,440.50 and 5,931.60 is: 8,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.40 : 14,440.50 = 5,931.60 : x
  2. Step 2: Convert to fraction form
    9,641.40/14,440.50 = 5,931.60/x
  3. Step 3: Cross multiply
    9,641.40x = 14,440.50 × 5,931.60
  4. Step 4: Simplify right side
    9,641.40x = 85,655,269.80
  5. Step 5: Solve for x
    x = 85,655,269.80/9,641.40
  6. Step 6: Final answer
    x = 8,884.11

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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.