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Finding the Fourth Proportional to 6,857.32, 9,449.16 and 4,733.50

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Solution

The fourth proportional to 6,857.32, 9,449.16 and 4,733.50 is: 6,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.32 : 9,449.16 = 4,733.50 : x
  2. Step 2: Convert to fraction form
    6,857.32/9,449.16 = 4,733.50/x
  3. Step 3: Cross multiply
    6,857.32x = 9,449.16 × 4,733.50
  4. Step 4: Simplify right side
    6,857.32x = 44,727,598.86
  5. Step 5: Solve for x
    x = 44,727,598.86/6,857.32
  6. Step 6: Final answer
    x = 6,522.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.