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Finding the Fourth Proportional to 6,876.77, 9,490.19 and 4,225.01

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Solution

The fourth proportional to 6,876.77, 9,490.19 and 4,225.01 is: 5,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.77 : 9,490.19 = 4,225.01 : x
  2. Step 2: Convert to fraction form
    6,876.77/9,490.19 = 4,225.01/x
  3. Step 3: Cross multiply
    6,876.77x = 9,490.19 × 4,225.01
  4. Step 4: Simplify right side
    6,876.77x = 40,096,079.08
  5. Step 5: Solve for x
    x = 40,096,079.08/6,876.77
  6. Step 6: Final answer
    x = 5,830.66

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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.