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Finding the Fourth Proportional to 6,681.83, 9,222.62 and 4,031.01

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Solution

The fourth proportional to 6,681.83, 9,222.62 and 4,031.01 is: 5,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.83 : 9,222.62 = 4,031.01 : x
  2. Step 2: Convert to fraction form
    6,681.83/9,222.62 = 4,031.01/x
  3. Step 3: Cross multiply
    6,681.83x = 9,222.62 × 4,031.01
  4. Step 4: Simplify right side
    6,681.83x = 37,176,453.29
  5. Step 5: Solve for x
    x = 37,176,453.29/6,681.83
  6. Step 6: Final answer
    x = 5,563.82

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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.