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Finding the Fourth Proportional to 9,281.25, 13,924.07 and 3,125.25

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Solution

The fourth proportional to 9,281.25, 13,924.07 and 3,125.25 is: 4,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.25 : 13,924.07 = 3,125.25 : x
  2. Step 2: Convert to fraction form
    9,281.25/13,924.07 = 3,125.25/x
  3. Step 3: Cross multiply
    9,281.25x = 13,924.07 × 3,125.25
  4. Step 4: Simplify right side
    9,281.25x = 43,516,184.14
  5. Step 5: Solve for x
    x = 43,516,184.14/9,281.25
  6. Step 6: Final answer
    x = 4,688.61

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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.