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Finding the Fourth Proportional to 9,829.32, 14,759.98 and 6,204.36

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Solution

The fourth proportional to 9,829.32, 14,759.98 and 6,204.36 is: 9,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.32 : 14,759.98 = 6,204.36 : x
  2. Step 2: Convert to fraction form
    9,829.32/14,759.98 = 6,204.36/x
  3. Step 3: Cross multiply
    9,829.32x = 14,759.98 × 6,204.36
  4. Step 4: Simplify right side
    9,829.32x = 91,576,229.51
  5. Step 5: Solve for x
    x = 91,576,229.51/9,829.32
  6. Step 6: Final answer
    x = 9,316.64

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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.