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Finding the Fourth Proportional to 6,462.61, 9,695.00 and 2,567.05

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Solution

The fourth proportional to 6,462.61, 9,695.00 and 2,567.05 is: 3,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.61 : 9,695.00 = 2,567.05 : x
  2. Step 2: Convert to fraction form
    6,462.61/9,695.00 = 2,567.05/x
  3. Step 3: Cross multiply
    6,462.61x = 9,695.00 × 2,567.05
  4. Step 4: Simplify right side
    6,462.61x = 24,887,536.91
  5. Step 5: Solve for x
    x = 24,887,536.91/6,462.61
  6. Step 6: Final answer
    x = 3,851.00

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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.