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Finding the Fourth Proportional to 9,284.18, 13,924.90 and 2,708.60

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Solution

The fourth proportional to 9,284.18, 13,924.90 and 2,708.60 is: 4,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.18 : 13,924.90 = 2,708.60 : x
  2. Step 2: Convert to fraction form
    9,284.18/13,924.90 = 2,708.60/x
  3. Step 3: Cross multiply
    9,284.18x = 13,924.90 × 2,708.60
  4. Step 4: Simplify right side
    9,284.18x = 37,716,984.14
  5. Step 5: Solve for x
    x = 37,716,984.14/9,284.18
  6. Step 6: Final answer
    x = 4,062.50

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Why These Related Problems?

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