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Finding the Fourth Proportional to 9,518.42, 13,140.35 and 5,934.44

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Solution

The fourth proportional to 9,518.42, 13,140.35 and 5,934.44 is: 8,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.42 : 13,140.35 = 5,934.44 : x
  2. Step 2: Convert to fraction form
    9,518.42/13,140.35 = 5,934.44/x
  3. Step 3: Cross multiply
    9,518.42x = 13,140.35 × 5,934.44
  4. Step 4: Simplify right side
    9,518.42x = 77,980,618.65
  5. Step 5: Solve for x
    x = 77,980,618.65/9,518.42
  6. Step 6: Final answer
    x = 8,192.60

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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.