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Finding the Fourth Proportional to 9,771.34, 14,660.25 and 6,497.32

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Solution

The fourth proportional to 9,771.34, 14,660.25 and 6,497.32 is: 9,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.34 : 14,660.25 = 6,497.32 : x
  2. Step 2: Convert to fraction form
    9,771.34/14,660.25 = 6,497.32/x
  3. Step 3: Cross multiply
    9,771.34x = 14,660.25 × 6,497.32
  4. Step 4: Simplify right side
    9,771.34x = 95,252,335.53
  5. Step 5: Solve for x
    x = 95,252,335.53/9,771.34
  6. Step 6: Final answer
    x = 9,748.13

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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.