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Finding the Fourth Proportional to 6,468.18, 9,700.23 and 4,288.47

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Solution

The fourth proportional to 6,468.18, 9,700.23 and 4,288.47 is: 6,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.18 : 9,700.23 = 4,288.47 : x
  2. Step 2: Convert to fraction form
    6,468.18/9,700.23 = 4,288.47/x
  3. Step 3: Cross multiply
    6,468.18x = 9,700.23 × 4,288.47
  4. Step 4: Simplify right side
    6,468.18x = 41,599,145.35
  5. Step 5: Solve for x
    x = 41,599,145.35/6,468.18
  6. Step 6: Final answer
    x = 6,431.35

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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.