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Finding the Fourth Proportional to 6,895.71, 9,517.59 and 4,207.50

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Solution

The fourth proportional to 6,895.71, 9,517.59 and 4,207.50 is: 5,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.71 : 9,517.59 = 4,207.50 : x
  2. Step 2: Convert to fraction form
    6,895.71/9,517.59 = 4,207.50/x
  3. Step 3: Cross multiply
    6,895.71x = 9,517.59 × 4,207.50
  4. Step 4: Simplify right side
    6,895.71x = 40,045,259.93
  5. Step 5: Solve for x
    x = 40,045,259.93/6,895.71
  6. Step 6: Final answer
    x = 5,807.27

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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.