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Finding the Fourth Proportional to 6,824,864.31, 9,413,987.64 and 5,189,686.80

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Solution

The fourth proportional to 6,824,864.31, 9,413,987.64 and 5,189,686.80 is: 7,158,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824,864.31 : 9,413,987.64 = 5,189,686.80 : x
  2. Step 2: Convert to fraction form
    6,824,864.31/9,413,987.64 = 5,189,686.80/x
  3. Step 3: Cross multiply
    6,824,864.31x = 9,413,987.64 × 5,189,686.80
  4. Step 4: Simplify right side
    6,824,864.31x = 48,855,647,390,671.16
  5. Step 5: Solve for x
    x = 48,855,647,390,671.16/6,824,864.31
  6. Step 6: Final answer
    x = 7,158,478.93

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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.