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Finding the Fourth Proportional to 9,722.56, 14,574.40 and 7,743.36

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Solution

The fourth proportional to 9,722.56, 14,574.40 and 7,743.36 is: 11,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.56 : 14,574.40 = 7,743.36 : x
  2. Step 2: Convert to fraction form
    9,722.56/14,574.40 = 7,743.36/x
  3. Step 3: Cross multiply
    9,722.56x = 14,574.40 × 7,743.36
  4. Step 4: Simplify right side
    9,722.56x = 112,854,825.98
  5. Step 5: Solve for x
    x = 112,854,825.98/9,722.56
  6. Step 6: Final answer
    x = 11,607.52

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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.