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Finding the Fourth Proportional to 9,829.84, 13,565.43 and 5,353.84

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Solution

The fourth proportional to 9,829.84, 13,565.43 and 5,353.84 is: 7,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.84 : 13,565.43 = 5,353.84 : x
  2. Step 2: Convert to fraction form
    9,829.84/13,565.43 = 5,353.84/x
  3. Step 3: Cross multiply
    9,829.84x = 13,565.43 × 5,353.84
  4. Step 4: Simplify right side
    9,829.84x = 72,627,047.15
  5. Step 5: Solve for x
    x = 72,627,047.15/9,829.84
  6. Step 6: Final answer
    x = 7,388.43

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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.