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Finding the Fourth Proportional to 9,806.79, 14,717.13 and 4,261.76

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Solution

The fourth proportional to 9,806.79, 14,717.13 and 4,261.76 is: 6,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.79 : 14,717.13 = 4,261.76 : x
  2. Step 2: Convert to fraction form
    9,806.79/14,717.13 = 4,261.76/x
  3. Step 3: Cross multiply
    9,806.79x = 14,717.13 × 4,261.76
  4. Step 4: Simplify right side
    9,806.79x = 62,720,802.36
  5. Step 5: Solve for x
    x = 62,720,802.36/9,806.79
  6. Step 6: Final answer
    x = 6,395.65

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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.