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Finding the Fourth Proportional to 9,119.36, 13,675.80 and 2,877.50

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Solution

The fourth proportional to 9,119.36, 13,675.80 and 2,877.50 is: 4,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.36 : 13,675.80 = 2,877.50 : x
  2. Step 2: Convert to fraction form
    9,119.36/13,675.80 = 2,877.50/x
  3. Step 3: Cross multiply
    9,119.36x = 13,675.80 × 2,877.50
  4. Step 4: Simplify right side
    9,119.36x = 39,352,114.50
  5. Step 5: Solve for x
    x = 39,352,114.50/9,119.36
  6. Step 6: Final answer
    x = 4,315.23

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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.