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Finding the Fourth Proportional to 9,277.30, 13,930.80 and 8,595.10

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Solution

The fourth proportional to 9,277.30, 13,930.80 and 8,595.10 is: 12,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.30 : 13,930.80 = 8,595.10 : x
  2. Step 2: Convert to fraction form
    9,277.30/13,930.80 = 8,595.10/x
  3. Step 3: Cross multiply
    9,277.30x = 13,930.80 × 8,595.10
  4. Step 4: Simplify right side
    9,277.30x = 119,736,619.08
  5. Step 5: Solve for x
    x = 119,736,619.08/9,277.30
  6. Step 6: Final answer
    x = 12,906.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.