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Finding the Fourth Proportional to 9,853.32, 14,780.99 and 3,189.31

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Solution

The fourth proportional to 9,853.32, 14,780.99 and 3,189.31 is: 4,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.32 : 14,780.99 = 3,189.31 : x
  2. Step 2: Convert to fraction form
    9,853.32/14,780.99 = 3,189.31/x
  3. Step 3: Cross multiply
    9,853.32x = 14,780.99 × 3,189.31
  4. Step 4: Simplify right side
    9,853.32x = 47,141,159.22
  5. Step 5: Solve for x
    x = 47,141,159.22/9,853.32
  6. Step 6: Final answer
    x = 4,784.29

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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.