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Finding the Fourth Proportional to 10,097,102.11, 14,028,069.86 and 9,976,033.20

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Solution

The fourth proportional to 10,097,102.11, 14,028,069.86 and 9,976,033.20 is: 13,859,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,102.11 : 14,028,069.86 = 9,976,033.20 : x
  2. Step 2: Convert to fraction form
    10,097,102.11/14,028,069.86 = 9,976,033.20/x
  3. Step 3: Cross multiply
    10,097,102.11x = 14,028,069.86 × 9,976,033.20
  4. Step 4: Simplify right side
    10,097,102.11x = 139,944,490,655,279.33
  5. Step 5: Solve for x
    x = 139,944,490,655,279.33/10,097,102.11
  6. Step 6: Final answer
    x = 13,859,866.83

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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.