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Finding the Fourth Proportional to 6,339.08, 9,509.75 and 2,178.01

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Solution

The fourth proportional to 6,339.08, 9,509.75 and 2,178.01 is: 3,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.08 : 9,509.75 = 2,178.01 : x
  2. Step 2: Convert to fraction form
    6,339.08/9,509.75 = 2,178.01/x
  3. Step 3: Cross multiply
    6,339.08x = 9,509.75 × 2,178.01
  4. Step 4: Simplify right side
    6,339.08x = 20,712,330.60
  5. Step 5: Solve for x
    x = 20,712,330.60/6,339.08
  6. Step 6: Final answer
    x = 3,267.40

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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.