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Finding the Fourth Proportional to 9,773.76, 14,647.68 and 7,164.48

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Solution

The fourth proportional to 9,773.76, 14,647.68 and 7,164.48 is: 10,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.76 : 14,647.68 = 7,164.48 : x
  2. Step 2: Convert to fraction form
    9,773.76/14,647.68 = 7,164.48/x
  3. Step 3: Cross multiply
    9,773.76x = 14,647.68 × 7,164.48
  4. Step 4: Simplify right side
    9,773.76x = 104,943,010.41
  5. Step 5: Solve for x
    x = 104,943,010.41/9,773.76
  6. Step 6: Final answer
    x = 10,737.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.