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Finding the Fourth Proportional to 9,339.36, 12,888.64 and 5,147.76

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Solution

The fourth proportional to 9,339.36, 12,888.64 and 5,147.76 is: 7,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.36 : 12,888.64 = 5,147.76 : x
  2. Step 2: Convert to fraction form
    9,339.36/12,888.64 = 5,147.76/x
  3. Step 3: Cross multiply
    9,339.36x = 12,888.64 × 5,147.76
  4. Step 4: Simplify right side
    9,339.36x = 66,347,625.45
  5. Step 5: Solve for x
    x = 66,347,625.45/9,339.36
  6. Step 6: Final answer
    x = 7,104.09

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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.