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Finding the Fourth Proportional to 10,070.70, 13,956.45 and 9,929.76

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Solution

The fourth proportional to 10,070.70, 13,956.45 and 9,929.76 is: 13,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.70 : 13,956.45 = 9,929.76 : x
  2. Step 2: Convert to fraction form
    10,070.70/13,956.45 = 9,929.76/x
  3. Step 3: Cross multiply
    10,070.70x = 13,956.45 × 9,929.76
  4. Step 4: Simplify right side
    10,070.70x = 138,584,198.95
  5. Step 5: Solve for x
    x = 138,584,198.95/10,070.70
  6. Step 6: Final answer
    x = 13,761.13

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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.