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Finding the Fourth Proportional to 6,864.16, 9,467.54 and 4,346.68

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Solution

The fourth proportional to 6,864.16, 9,467.54 and 4,346.68 is: 5,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.16 : 9,467.54 = 4,346.68 : x
  2. Step 2: Convert to fraction form
    6,864.16/9,467.54 = 4,346.68/x
  3. Step 3: Cross multiply
    6,864.16x = 9,467.54 × 4,346.68
  4. Step 4: Simplify right side
    6,864.16x = 41,152,366.77
  5. Step 5: Solve for x
    x = 41,152,366.77/6,864.16
  6. Step 6: Final answer
    x = 5,995.25

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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.