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Finding the Fourth Proportional to 9,802.79, 14,704.16 and 4,255.41

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Solution

The fourth proportional to 9,802.79, 14,704.16 and 4,255.41 is: 6,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.79 : 14,704.16 = 4,255.41 : x
  2. Step 2: Convert to fraction form
    9,802.79/14,704.16 = 4,255.41/x
  3. Step 3: Cross multiply
    9,802.79x = 14,704.16 × 4,255.41
  4. Step 4: Simplify right side
    9,802.79x = 62,572,208.23
  5. Step 5: Solve for x
    x = 62,572,208.23/9,802.79
  6. Step 6: Final answer
    x = 6,383.11

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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.