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Finding the Fourth Proportional to 6,335.76, 9,497.88 and 4,381.68

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Solution

The fourth proportional to 6,335.76, 9,497.88 and 4,381.68 is: 6,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.76 : 9,497.88 = 4,381.68 : x
  2. Step 2: Convert to fraction form
    6,335.76/9,497.88 = 4,381.68/x
  3. Step 3: Cross multiply
    6,335.76x = 9,497.88 × 4,381.68
  4. Step 4: Simplify right side
    6,335.76x = 41,616,670.84
  5. Step 5: Solve for x
    x = 41,616,670.84/6,335.76
  6. Step 6: Final answer
    x = 6,568.54

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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.