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Finding the Fourth Proportional to 9,541.58, 13,173.47 and 7,777.38

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Solution

The fourth proportional to 9,541.58, 13,173.47 and 7,777.38 is: 10,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.58 : 13,173.47 = 7,777.38 : x
  2. Step 2: Convert to fraction form
    9,541.58/13,173.47 = 7,777.38/x
  3. Step 3: Cross multiply
    9,541.58x = 13,173.47 × 7,777.38
  4. Step 4: Simplify right side
    9,541.58x = 102,455,082.11
  5. Step 5: Solve for x
    x = 102,455,082.11/9,541.58
  6. Step 6: Final answer
    x = 10,737.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.