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Finding the Fourth Proportional to 9,766.86, 13,464.27 and 6,967.50

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Solution

The fourth proportional to 9,766.86, 13,464.27 and 6,967.50 is: 9,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.86 : 13,464.27 = 6,967.50 : x
  2. Step 2: Convert to fraction form
    9,766.86/13,464.27 = 6,967.50/x
  3. Step 3: Cross multiply
    9,766.86x = 13,464.27 × 6,967.50
  4. Step 4: Simplify right side
    9,766.86x = 93,812,301.23
  5. Step 5: Solve for x
    x = 93,812,301.23/9,766.86
  6. Step 6: Final answer
    x = 9,605.16

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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.