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Finding the Fourth Proportional to 6,824,665.98, 9,413,713.68 and 5,189,488.62

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Solution

The fourth proportional to 6,824,665.98, 9,413,713.68 and 5,189,488.62 is: 7,158,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824,665.98 : 9,413,713.68 = 5,189,488.62 : x
  2. Step 2: Convert to fraction form
    6,824,665.98/9,413,713.68 = 5,189,488.62/x
  3. Step 3: Cross multiply
    6,824,665.98x = 9,413,713.68 × 5,189,488.62
  4. Step 4: Simplify right side
    6,824,665.98x = 48,852,360,014,298.32
  5. Step 5: Solve for x
    x = 48,852,360,014,298.32/6,824,665.98
  6. Step 6: Final answer
    x = 7,158,205.27

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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.