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Finding the Fourth Proportional to 9,436.69, 14,159.90 and 5,274.10

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Solution

The fourth proportional to 9,436.69, 14,159.90 and 5,274.10 is: 7,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.69 : 14,159.90 = 5,274.10 : x
  2. Step 2: Convert to fraction form
    9,436.69/14,159.90 = 5,274.10/x
  3. Step 3: Cross multiply
    9,436.69x = 14,159.90 × 5,274.10
  4. Step 4: Simplify right side
    9,436.69x = 74,680,728.59
  5. Step 5: Solve for x
    x = 74,680,728.59/9,436.69
  6. Step 6: Final answer
    x = 7,913.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.