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Finding the Fourth Proportional to 6,859.23, 9,464.14 and 4,026.46

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Solution

The fourth proportional to 6,859.23, 9,464.14 and 4,026.46 is: 5,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.23 : 9,464.14 = 4,026.46 : x
  2. Step 2: Convert to fraction form
    6,859.23/9,464.14 = 4,026.46/x
  3. Step 3: Cross multiply
    6,859.23x = 9,464.14 × 4,026.46
  4. Step 4: Simplify right side
    6,859.23x = 38,106,981.14
  5. Step 5: Solve for x
    x = 38,106,981.14/6,859.23
  6. Step 6: Final answer
    x = 5,555.58

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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.