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Finding the Fourth Proportional to 9,032.63, 12,472.72 and 5,681.05

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Solution

The fourth proportional to 9,032.63, 12,472.72 and 5,681.05 is: 7,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.63 : 12,472.72 = 5,681.05 : x
  2. Step 2: Convert to fraction form
    9,032.63/12,472.72 = 5,681.05/x
  3. Step 3: Cross multiply
    9,032.63x = 12,472.72 × 5,681.05
  4. Step 4: Simplify right side
    9,032.63x = 70,858,100.57
  5. Step 5: Solve for x
    x = 70,858,100.57/9,032.63
  6. Step 6: Final answer
    x = 7,844.69

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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.