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Finding the Fourth Proportional to 6,438,281.76, 8,884,786.32 and 3,537,704.16

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Solution

The fourth proportional to 6,438,281.76, 8,884,786.32 and 3,537,704.16 is: 4,882,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,281.76 : 8,884,786.32 = 3,537,704.16 : x
  2. Step 2: Convert to fraction form
    6,438,281.76/8,884,786.32 = 3,537,704.16/x
  3. Step 3: Cross multiply
    6,438,281.76x = 8,884,786.32 × 3,537,704.16
  4. Step 4: Simplify right side
    6,438,281.76x = 31,431,745,524,975.09
  5. Step 5: Solve for x
    x = 31,431,745,524,975.09/6,438,281.76
  6. Step 6: Final answer
    x = 4,882,008.38

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Why These Related Problems?

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