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Finding the Fourth Proportional to 9,644.76, 13,320.70 and 6,495.48

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Solution

The fourth proportional to 9,644.76, 13,320.70 and 6,495.48 is: 8,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.76 : 13,320.70 = 6,495.48 : x
  2. Step 2: Convert to fraction form
    9,644.76/13,320.70 = 6,495.48/x
  3. Step 3: Cross multiply
    9,644.76x = 13,320.70 × 6,495.48
  4. Step 4: Simplify right side
    9,644.76x = 86,524,340.44
  5. Step 5: Solve for x
    x = 86,524,340.44/9,644.76
  6. Step 6: Final answer
    x = 8,971.12

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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.