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Finding the Fourth Proportional to 6,567.12, 9,065.97 and 5,071.68

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Solution

The fourth proportional to 6,567.12, 9,065.97 and 5,071.68 is: 7,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.12 : 9,065.97 = 5,071.68 : x
  2. Step 2: Convert to fraction form
    6,567.12/9,065.97 = 5,071.68/x
  3. Step 3: Cross multiply
    6,567.12x = 9,065.97 × 5,071.68
  4. Step 4: Simplify right side
    6,567.12x = 45,979,698.73
  5. Step 5: Solve for x
    x = 45,979,698.73/6,567.12
  6. Step 6: Final answer
    x = 7,001.50

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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.