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Finding the Fourth Proportional to 7,113,843.76, 9,818,344.92 and 4,214,866.80

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Solution

The fourth proportional to 7,113,843.76, 9,818,344.92 and 4,214,866.80 is: 5,817,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113,843.76 : 9,818,344.92 = 4,214,866.80 : x
  2. Step 2: Convert to fraction form
    7,113,843.76/9,818,344.92 = 4,214,866.80/x
  3. Step 3: Cross multiply
    7,113,843.76x = 9,818,344.92 × 4,214,866.80
  4. Step 4: Simplify right side
    7,113,843.76x = 41,383,016,034,256.66
  5. Step 5: Solve for x
    x = 41,383,016,034,256.66/7,113,843.76
  6. Step 6: Final answer
    x = 5,817,251.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.