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Finding the Fourth Proportional to 9,385.12, 12,968.56 and 8,929.60

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Solution

The fourth proportional to 9,385.12, 12,968.56 and 8,929.60 is: 12,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.12 : 12,968.56 = 8,929.60 : x
  2. Step 2: Convert to fraction form
    9,385.12/12,968.56 = 8,929.60/x
  3. Step 3: Cross multiply
    9,385.12x = 12,968.56 × 8,929.60
  4. Step 4: Simplify right side
    9,385.12x = 115,804,053.38
  5. Step 5: Solve for x
    x = 115,804,053.38/9,385.12
  6. Step 6: Final answer
    x = 12,339.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.