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Finding the Fourth Proportional to 9,829.01, 13,565.21 and 5,850.09

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Solution

The fourth proportional to 9,829.01, 13,565.21 and 5,850.09 is: 8,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.01 : 13,565.21 = 5,850.09 : x
  2. Step 2: Convert to fraction form
    9,829.01/13,565.21 = 5,850.09/x
  3. Step 3: Cross multiply
    9,829.01x = 13,565.21 × 5,850.09
  4. Step 4: Simplify right side
    9,829.01x = 79,357,670.12
  5. Step 5: Solve for x
    x = 79,357,670.12/9,829.01
  6. Step 6: Final answer
    x = 8,073.82

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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.