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Finding the Fourth Proportional to 10,071.70, 13,957.84 and 9,930.76

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Solution

The fourth proportional to 10,071.70, 13,957.84 and 9,930.76 is: 13,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.70 : 13,957.84 = 9,930.76 : x
  2. Step 2: Convert to fraction form
    10,071.70/13,957.84 = 9,930.76/x
  3. Step 3: Cross multiply
    10,071.70x = 13,957.84 × 9,930.76
  4. Step 4: Simplify right side
    10,071.70x = 138,611,959.16
  5. Step 5: Solve for x
    x = 138,611,959.16/10,071.70
  6. Step 6: Final answer
    x = 13,762.52

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