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Finding the Fourth Proportional to 9,770.34, 14,658.75 and 6,496.32

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Solution

The fourth proportional to 9,770.34, 14,658.75 and 6,496.32 is: 9,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.34 : 14,658.75 = 6,496.32 : x
  2. Step 2: Convert to fraction form
    9,770.34/14,658.75 = 6,496.32/x
  3. Step 3: Cross multiply
    9,770.34x = 14,658.75 × 6,496.32
  4. Step 4: Simplify right side
    9,770.34x = 95,227,930.80
  5. Step 5: Solve for x
    x = 95,227,930.80/9,770.34
  6. Step 6: Final answer
    x = 9,746.63

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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.