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Finding the Fourth Proportional to 9,666.39, 13,339.89 and 5,474.64

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Solution

The fourth proportional to 9,666.39, 13,339.89 and 5,474.64 is: 7,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.39 : 13,339.89 = 5,474.64 : x
  2. Step 2: Convert to fraction form
    9,666.39/13,339.89 = 5,474.64/x
  3. Step 3: Cross multiply
    9,666.39x = 13,339.89 × 5,474.64
  4. Step 4: Simplify right side
    9,666.39x = 73,031,095.39
  5. Step 5: Solve for x
    x = 73,031,095.39/9,666.39
  6. Step 6: Final answer
    x = 7,555.16

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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.