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Finding the Fourth Proportional to 9,931.40, 14,906.70 and 5,006.60

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Solution

The fourth proportional to 9,931.40, 14,906.70 and 5,006.60 is: 7,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.40 : 14,906.70 = 5,006.60 : x
  2. Step 2: Convert to fraction form
    9,931.40/14,906.70 = 5,006.60/x
  3. Step 3: Cross multiply
    9,931.40x = 14,906.70 × 5,006.60
  4. Step 4: Simplify right side
    9,931.40x = 74,631,884.22
  5. Step 5: Solve for x
    x = 74,631,884.22/9,931.40
  6. Step 6: Final answer
    x = 7,514.74

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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.