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Finding the Fourth Proportional to 9,768.48, 14,652.72 and 6,487.98

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Solution

The fourth proportional to 9,768.48, 14,652.72 and 6,487.98 is: 9,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.48 : 14,652.72 = 6,487.98 : x
  2. Step 2: Convert to fraction form
    9,768.48/14,652.72 = 6,487.98/x
  3. Step 3: Cross multiply
    9,768.48x = 14,652.72 × 6,487.98
  4. Step 4: Simplify right side
    9,768.48x = 95,066,554.31
  5. Step 5: Solve for x
    x = 95,066,554.31/9,768.48
  6. Step 6: Final answer
    x = 9,731.97

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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.