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Finding the Fourth Proportional to 9,219.42, 12,712.74 and 6,230.06

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Solution

The fourth proportional to 9,219.42, 12,712.74 and 6,230.06 is: 8,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.42 : 12,712.74 = 6,230.06 : x
  2. Step 2: Convert to fraction form
    9,219.42/12,712.74 = 6,230.06/x
  3. Step 3: Cross multiply
    9,219.42x = 12,712.74 × 6,230.06
  4. Step 4: Simplify right side
    9,219.42x = 79,201,069.40
  5. Step 5: Solve for x
    x = 79,201,069.40/9,219.42
  6. Step 6: Final answer
    x = 8,590.68

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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.