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Finding the Fourth Proportional to 6,464.06, 8,917.40 and 4,225.11

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Solution

The fourth proportional to 6,464.06, 8,917.40 and 4,225.11 is: 5,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.06 : 8,917.40 = 4,225.11 : x
  2. Step 2: Convert to fraction form
    6,464.06/8,917.40 = 4,225.11/x
  3. Step 3: Cross multiply
    6,464.06x = 8,917.40 × 4,225.11
  4. Step 4: Simplify right side
    6,464.06x = 37,677,006.48
  5. Step 5: Solve for x
    x = 37,677,006.48/6,464.06
  6. Step 6: Final answer
    x = 5,828.69

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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.