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Finding the Fourth Proportional to 9,877.04, 14,812.47 and 3,301.70

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Solution

The fourth proportional to 9,877.04, 14,812.47 and 3,301.70 is: 4,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.04 : 14,812.47 = 3,301.70 : x
  2. Step 2: Convert to fraction form
    9,877.04/14,812.47 = 3,301.70/x
  3. Step 3: Cross multiply
    9,877.04x = 14,812.47 × 3,301.70
  4. Step 4: Simplify right side
    9,877.04x = 48,906,258.14
  5. Step 5: Solve for x
    x = 48,906,258.14/9,877.04
  6. Step 6: Final answer
    x = 4,951.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.