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Finding the Fourth Proportional to 6,864.60, 9,468.14 and 4,347.12

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Solution

The fourth proportional to 6,864.60, 9,468.14 and 4,347.12 is: 5,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.60 : 9,468.14 = 4,347.12 : x
  2. Step 2: Convert to fraction form
    6,864.60/9,468.14 = 4,347.12/x
  3. Step 3: Cross multiply
    6,864.60x = 9,468.14 × 4,347.12
  4. Step 4: Simplify right side
    6,864.60x = 41,159,106.22
  5. Step 5: Solve for x
    x = 41,159,106.22/6,864.60
  6. Step 6: Final answer
    x = 5,995.85

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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.