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Finding the Fourth Proportional to 9,281.63, 12,808.51 and 5,032.61

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Solution

The fourth proportional to 9,281.63, 12,808.51 and 5,032.61 is: 6,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.63 : 12,808.51 = 5,032.61 : x
  2. Step 2: Convert to fraction form
    9,281.63/12,808.51 = 5,032.61/x
  3. Step 3: Cross multiply
    9,281.63x = 12,808.51 × 5,032.61
  4. Step 4: Simplify right side
    9,281.63x = 64,460,206.92
  5. Step 5: Solve for x
    x = 64,460,206.92/9,281.63
  6. Step 6: Final answer
    x = 6,944.92

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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.