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Finding the Fourth Proportional to 6,369.72, 9,552.54 and 4,416

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Solution

The fourth proportional to 6,369.72, 9,552.54 and 4,416 is: 6,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.72 : 9,552.54 = 4,416 : x
  2. Step 2: Convert to fraction form
    6,369.72/9,552.54 = 4,416/x
  3. Step 3: Cross multiply
    6,369.72x = 9,552.54 × 4,416
  4. Step 4: Simplify right side
    6,369.72x = 42,184,016.64
  5. Step 5: Solve for x
    x = 42,184,016.64/6,369.72
  6. Step 6: Final answer
    x = 6,622.59

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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.