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Finding the Fourth Proportional to 6,914.42, 10,318.12 and 6,176.06

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Solution

The fourth proportional to 6,914.42, 10,318.12 and 6,176.06 is: 9,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.42 : 10,318.12 = 6,176.06 : x
  2. Step 2: Convert to fraction form
    6,914.42/10,318.12 = 6,176.06/x
  3. Step 3: Cross multiply
    6,914.42x = 10,318.12 × 6,176.06
  4. Step 4: Simplify right side
    6,914.42x = 63,725,328.21
  5. Step 5: Solve for x
    x = 63,725,328.21/6,914.42
  6. Step 6: Final answer
    x = 9,216.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.