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Finding the Fourth Proportional to 6,329.32, 9,484.16 and 4,767.64

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Solution

The fourth proportional to 6,329.32, 9,484.16 and 4,767.64 is: 7,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.32 : 9,484.16 = 4,767.64 : x
  2. Step 2: Convert to fraction form
    6,329.32/9,484.16 = 4,767.64/x
  3. Step 3: Cross multiply
    6,329.32x = 9,484.16 × 4,767.64
  4. Step 4: Simplify right side
    6,329.32x = 45,217,013.16
  5. Step 5: Solve for x
    x = 45,217,013.16/6,329.32
  6. Step 6: Final answer
    x = 7,144.06

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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.