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Finding the Fourth Proportional to 10,071.76, 13,957.75 and 9,930.76

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Solution

The fourth proportional to 10,071.76, 13,957.75 and 9,930.76 is: 13,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.76 : 13,957.75 = 9,930.76 : x
  2. Step 2: Convert to fraction form
    10,071.76/13,957.75 = 9,930.76/x
  3. Step 3: Cross multiply
    10,071.76x = 13,957.75 × 9,930.76
  4. Step 4: Simplify right side
    10,071.76x = 138,611,065.39
  5. Step 5: Solve for x
    x = 138,611,065.39/10,071.76
  6. Step 6: Final answer
    x = 13,762.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.