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Finding the Fourth Proportional to 9,424.71, 13,005.18 and 5,445.27

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Solution

The fourth proportional to 9,424.71, 13,005.18 and 5,445.27 is: 7,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.71 : 13,005.18 = 5,445.27 : x
  2. Step 2: Convert to fraction form
    9,424.71/13,005.18 = 5,445.27/x
  3. Step 3: Cross multiply
    9,424.71x = 13,005.18 × 5,445.27
  4. Step 4: Simplify right side
    9,424.71x = 70,816,716.50
  5. Step 5: Solve for x
    x = 70,816,716.50/9,424.71
  6. Step 6: Final answer
    x = 7,513.94

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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.