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Finding the Fourth Proportional to 9,941.48, 13,724.04 and 9,140.88

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Solution

The fourth proportional to 9,941.48, 13,724.04 and 9,140.88 is: 12,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.48 : 13,724.04 = 9,140.88 : x
  2. Step 2: Convert to fraction form
    9,941.48/13,724.04 = 9,140.88/x
  3. Step 3: Cross multiply
    9,941.48x = 13,724.04 × 9,140.88
  4. Step 4: Simplify right side
    9,941.48x = 125,449,802.76
  5. Step 5: Solve for x
    x = 125,449,802.76/9,941.48
  6. Step 6: Final answer
    x = 12,618.83

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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.