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Finding the Fourth Proportional to 9,122.55, 13,681.86 and 2,883.04

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Solution

The fourth proportional to 9,122.55, 13,681.86 and 2,883.04 is: 4,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.55 : 13,681.86 = 2,883.04 : x
  2. Step 2: Convert to fraction form
    9,122.55/13,681.86 = 2,883.04/x
  3. Step 3: Cross multiply
    9,122.55x = 13,681.86 × 2,883.04
  4. Step 4: Simplify right side
    9,122.55x = 39,445,349.65
  5. Step 5: Solve for x
    x = 39,445,349.65/9,122.55
  6. Step 6: Final answer
    x = 4,323.94

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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.