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Finding the Fourth Proportional to 9,187.35, 13,770.09 and 6,398.93

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Solution

The fourth proportional to 9,187.35, 13,770.09 and 6,398.93 is: 9,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.35 : 13,770.09 = 6,398.93 : x
  2. Step 2: Convert to fraction form
    9,187.35/13,770.09 = 6,398.93/x
  3. Step 3: Cross multiply
    9,187.35x = 13,770.09 × 6,398.93
  4. Step 4: Simplify right side
    9,187.35x = 88,113,842.00
  5. Step 5: Solve for x
    x = 88,113,842.00/9,187.35
  6. Step 6: Final answer
    x = 9,590.78

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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.