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Finding the Fourth Proportional to 6,184.74, 8,536.04 and 4,690.14

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Solution

The fourth proportional to 6,184.74, 8,536.04 and 4,690.14 is: 6,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.74 : 8,536.04 = 4,690.14 : x
  2. Step 2: Convert to fraction form
    6,184.74/8,536.04 = 4,690.14/x
  3. Step 3: Cross multiply
    6,184.74x = 8,536.04 × 4,690.14
  4. Step 4: Simplify right side
    6,184.74x = 40,035,222.65
  5. Step 5: Solve for x
    x = 40,035,222.65/6,184.74
  6. Step 6: Final answer
    x = 6,473.23

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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.