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Finding the Fourth Proportional to 9,126.32, 13,684.01 and 2,883.65

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Solution

The fourth proportional to 9,126.32, 13,684.01 and 2,883.65 is: 4,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.32 : 13,684.01 = 2,883.65 : x
  2. Step 2: Convert to fraction form
    9,126.32/13,684.01 = 2,883.65/x
  3. Step 3: Cross multiply
    9,126.32x = 13,684.01 × 2,883.65
  4. Step 4: Simplify right side
    9,126.32x = 39,459,812.60
  5. Step 5: Solve for x
    x = 39,459,812.60/9,126.32
  6. Step 6: Final answer
    x = 4,323.74

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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.