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Finding the Fourth Proportional to 9,778.26, 13,494.06 and 5,302.08

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Solution

The fourth proportional to 9,778.26, 13,494.06 and 5,302.08 is: 7,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.26 : 13,494.06 = 5,302.08 : x
  2. Step 2: Convert to fraction form
    9,778.26/13,494.06 = 5,302.08/x
  3. Step 3: Cross multiply
    9,778.26x = 13,494.06 × 5,302.08
  4. Step 4: Simplify right side
    9,778.26x = 71,546,585.64
  5. Step 5: Solve for x
    x = 71,546,585.64/9,778.26
  6. Step 6: Final answer
    x = 7,316.90

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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.