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Finding the Fourth Proportional to 9,722.82, 13,417.47 and 5,531.07

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Solution

The fourth proportional to 9,722.82, 13,417.47 and 5,531.07 is: 7,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.82 : 13,417.47 = 5,531.07 : x
  2. Step 2: Convert to fraction form
    9,722.82/13,417.47 = 5,531.07/x
  3. Step 3: Cross multiply
    9,722.82x = 13,417.47 × 5,531.07
  4. Step 4: Simplify right side
    9,722.82x = 74,212,965.79
  5. Step 5: Solve for x
    x = 74,212,965.79/9,722.82
  6. Step 6: Final answer
    x = 7,632.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.