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Finding the Fourth Proportional to 9,777.78, 14,670.72 and 4,230.09

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Solution

The fourth proportional to 9,777.78, 14,670.72 and 4,230.09 is: 6,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.78 : 14,670.72 = 4,230.09 : x
  2. Step 2: Convert to fraction form
    9,777.78/14,670.72 = 4,230.09/x
  3. Step 3: Cross multiply
    9,777.78x = 14,670.72 × 4,230.09
  4. Step 4: Simplify right side
    9,777.78x = 62,058,465.96
  5. Step 5: Solve for x
    x = 62,058,465.96/9,777.78
  6. Step 6: Final answer
    x = 6,346.89

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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.