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Finding the Fourth Proportional to 9,721.82, 13,416.08 and 5,530.08

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Solution

The fourth proportional to 9,721.82, 13,416.08 and 5,530.08 is: 7,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.82 : 13,416.08 = 5,530.08 : x
  2. Step 2: Convert to fraction form
    9,721.82/13,416.08 = 5,530.08/x
  3. Step 3: Cross multiply
    9,721.82x = 13,416.08 × 5,530.08
  4. Step 4: Simplify right side
    9,721.82x = 74,191,995.69
  5. Step 5: Solve for x
    x = 74,191,995.69/9,721.82
  6. Step 6: Final answer
    x = 7,631.49

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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.