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Finding the Fourth Proportional to 9,260.46, 12,779.54 and 5,281.81

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Solution

The fourth proportional to 9,260.46, 12,779.54 and 5,281.81 is: 7,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.46 : 12,779.54 = 5,281.81 : x
  2. Step 2: Convert to fraction form
    9,260.46/12,779.54 = 5,281.81/x
  3. Step 3: Cross multiply
    9,260.46x = 12,779.54 × 5,281.81
  4. Step 4: Simplify right side
    9,260.46x = 67,499,011.86
  5. Step 5: Solve for x
    x = 67,499,011.86/9,260.46
  6. Step 6: Final answer
    x = 7,288.95

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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.