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Finding the Fourth Proportional to 9,737.01, 13,442.24 and 7,801.76

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Solution

The fourth proportional to 9,737.01, 13,442.24 and 7,801.76 is: 10,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.01 : 13,442.24 = 7,801.76 : x
  2. Step 2: Convert to fraction form
    9,737.01/13,442.24 = 7,801.76/x
  3. Step 3: Cross multiply
    9,737.01x = 13,442.24 × 7,801.76
  4. Step 4: Simplify right side
    9,737.01x = 104,873,124.94
  5. Step 5: Solve for x
    x = 104,873,124.94/9,737.01
  6. Step 6: Final answer
    x = 10,770.57

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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.