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Finding the Fourth Proportional to 9,064.98, 13,597.20 and 2,491.56

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Solution

The fourth proportional to 9,064.98, 13,597.20 and 2,491.56 is: 3,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.98 : 13,597.20 = 2,491.56 : x
  2. Step 2: Convert to fraction form
    9,064.98/13,597.20 = 2,491.56/x
  3. Step 3: Cross multiply
    9,064.98x = 13,597.20 × 2,491.56
  4. Step 4: Simplify right side
    9,064.98x = 33,878,239.63
  5. Step 5: Solve for x
    x = 33,878,239.63/9,064.98
  6. Step 6: Final answer
    x = 3,737.27

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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.