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Finding the Fourth Proportional to 9,219.42, 12,712.74 and 6,230.07

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Solution

The fourth proportional to 9,219.42, 12,712.74 and 6,230.07 is: 8,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.42 : 12,712.74 = 6,230.07 : x
  2. Step 2: Convert to fraction form
    9,219.42/12,712.74 = 6,230.07/x
  3. Step 3: Cross multiply
    9,219.42x = 12,712.74 × 6,230.07
  4. Step 4: Simplify right side
    9,219.42x = 79,201,260.09
  5. Step 5: Solve for x
    x = 79,201,260.09/9,219.42
  6. Step 6: Final answer
    x = 8,590.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.