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Finding the Fourth Proportional to 9,802.16, 14,701.71 and 3,227.78

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Solution

The fourth proportional to 9,802.16, 14,701.71 and 3,227.78 is: 4,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.16 : 14,701.71 = 3,227.78 : x
  2. Step 2: Convert to fraction form
    9,802.16/14,701.71 = 3,227.78/x
  3. Step 3: Cross multiply
    9,802.16x = 14,701.71 × 3,227.78
  4. Step 4: Simplify right side
    9,802.16x = 47,453,885.50
  5. Step 5: Solve for x
    x = 47,453,885.50/9,802.16
  6. Step 6: Final answer
    x = 4,841.17

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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.