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Finding the Fourth Proportional to 6,859, 9,455.70 and 4,874.10

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Solution

The fourth proportional to 6,859, 9,455.70 and 4,874.10 is: 6,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859 : 9,455.70 = 4,874.10 : x
  2. Step 2: Convert to fraction form
    6,859/9,455.70 = 4,874.10/x
  3. Step 3: Cross multiply
    6,859x = 9,455.70 × 4,874.10
  4. Step 4: Simplify right side
    6,859x = 46,088,027.37
  5. Step 5: Solve for x
    x = 46,088,027.37/6,859
  6. Step 6: Final answer
    x = 6,719.35

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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.