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Finding the Fourth Proportional to 6,339.77, 9,507.32 and 2,178.59

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Solution

The fourth proportional to 6,339.77, 9,507.32 and 2,178.59 is: 3,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.77 : 9,507.32 = 2,178.59 : x
  2. Step 2: Convert to fraction form
    6,339.77/9,507.32 = 2,178.59/x
  3. Step 3: Cross multiply
    6,339.77x = 9,507.32 × 2,178.59
  4. Step 4: Simplify right side
    6,339.77x = 20,712,541.39
  5. Step 5: Solve for x
    x = 20,712,541.39/6,339.77
  6. Step 6: Final answer
    x = 3,267.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.