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Finding the Fourth Proportional to 9,355.95, 14,026.91 and 5,657.42

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Solution

The fourth proportional to 9,355.95, 14,026.91 and 5,657.42 is: 8,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.95 : 14,026.91 = 5,657.42 : x
  2. Step 2: Convert to fraction form
    9,355.95/14,026.91 = 5,657.42/x
  3. Step 3: Cross multiply
    9,355.95x = 14,026.91 × 5,657.42
  4. Step 4: Simplify right side
    9,355.95x = 79,356,127.95
  5. Step 5: Solve for x
    x = 79,356,127.95/9,355.95
  6. Step 6: Final answer
    x = 8,481.89

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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.