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Finding the Fourth Proportional to 6,567.90, 9,836.19 and 3,788.76

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Solution

The fourth proportional to 6,567.90, 9,836.19 and 3,788.76 is: 5,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.90 : 9,836.19 = 3,788.76 : x
  2. Step 2: Convert to fraction form
    6,567.90/9,836.19 = 3,788.76/x
  3. Step 3: Cross multiply
    6,567.90x = 9,836.19 × 3,788.76
  4. Step 4: Simplify right side
    6,567.90x = 37,266,963.22
  5. Step 5: Solve for x
    x = 37,266,963.22/6,567.90
  6. Step 6: Final answer
    x = 5,674.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.