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Finding the Fourth Proportional to 9,468.24, 13,059.18 and 6,949.50

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Solution

The fourth proportional to 9,468.24, 13,059.18 and 6,949.50 is: 9,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.24 : 13,059.18 = 6,949.50 : x
  2. Step 2: Convert to fraction form
    9,468.24/13,059.18 = 6,949.50/x
  3. Step 3: Cross multiply
    9,468.24x = 13,059.18 × 6,949.50
  4. Step 4: Simplify right side
    9,468.24x = 90,754,771.41
  5. Step 5: Solve for x
    x = 90,754,771.41/9,468.24
  6. Step 6: Final answer
    x = 9,585.18

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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.