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Finding the Fourth Proportional to 9,038.44, 13,554.78 and 2,881

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Solution

The fourth proportional to 9,038.44, 13,554.78 and 2,881 is: 4,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.44 : 13,554.78 = 2,881 : x
  2. Step 2: Convert to fraction form
    9,038.44/13,554.78 = 2,881/x
  3. Step 3: Cross multiply
    9,038.44x = 13,554.78 × 2,881
  4. Step 4: Simplify right side
    9,038.44x = 39,051,321.18
  5. Step 5: Solve for x
    x = 39,051,321.18/9,038.44
  6. Step 6: Final answer
    x = 4,320.58

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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.