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Finding the Fourth Proportional to 9,805.08, 14,699.34 and 4,254.24

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Solution

The fourth proportional to 9,805.08, 14,699.34 and 4,254.24 is: 6,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.08 : 14,699.34 = 4,254.24 : x
  2. Step 2: Convert to fraction form
    9,805.08/14,699.34 = 4,254.24/x
  3. Step 3: Cross multiply
    9,805.08x = 14,699.34 × 4,254.24
  4. Step 4: Simplify right side
    9,805.08x = 62,534,520.20
  5. Step 5: Solve for x
    x = 62,534,520.20/9,805.08
  6. Step 6: Final answer
    x = 6,377.77

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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.