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Finding the Fourth Proportional to 9,339.60, 12,907.08 and 7,658.28

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Solution

The fourth proportional to 9,339.60, 12,907.08 and 7,658.28 is: 10,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.60 : 12,907.08 = 7,658.28 : x
  2. Step 2: Convert to fraction form
    9,339.60/12,907.08 = 7,658.28/x
  3. Step 3: Cross multiply
    9,339.60x = 12,907.08 × 7,658.28
  4. Step 4: Simplify right side
    9,339.60x = 98,846,032.62
  5. Step 5: Solve for x
    x = 98,846,032.62/9,339.60
  6. Step 6: Final answer
    x = 10,583.54

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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.