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Finding the Fourth Proportional to 9,783.12, 14,663.72 and 4,239.12

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Solution

The fourth proportional to 9,783.12, 14,663.72 and 4,239.12 is: 6,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.12 : 14,663.72 = 4,239.12 : x
  2. Step 2: Convert to fraction form
    9,783.12/14,663.72 = 4,239.12/x
  3. Step 3: Cross multiply
    9,783.12x = 14,663.72 × 4,239.12
  4. Step 4: Simplify right side
    9,783.12x = 62,161,268.73
  5. Step 5: Solve for x
    x = 62,161,268.73/9,783.12
  6. Step 6: Final answer
    x = 6,353.93

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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.