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Finding the Fourth Proportional to 9,673.01, 14,513.95 and 5,732.08

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Solution

The fourth proportional to 9,673.01, 14,513.95 and 5,732.08 is: 8,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.01 : 14,513.95 = 5,732.08 : x
  2. Step 2: Convert to fraction form
    9,673.01/14,513.95 = 5,732.08/x
  3. Step 3: Cross multiply
    9,673.01x = 14,513.95 × 5,732.08
  4. Step 4: Simplify right side
    9,673.01x = 83,195,122.52
  5. Step 5: Solve for x
    x = 83,195,122.52/9,673.01
  6. Step 6: Final answer
    x = 8,600.75

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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.