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Finding the Fourth Proportional to 9,557.76, 14,322.69 and 6,789.81

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Solution

The fourth proportional to 9,557.76, 14,322.69 and 6,789.81 is: 10,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.76 : 14,322.69 = 6,789.81 : x
  2. Step 2: Convert to fraction form
    9,557.76/14,322.69 = 6,789.81/x
  3. Step 3: Cross multiply
    9,557.76x = 14,322.69 × 6,789.81
  4. Step 4: Simplify right side
    9,557.76x = 97,248,343.79
  5. Step 5: Solve for x
    x = 97,248,343.79/9,557.76
  6. Step 6: Final answer
    x = 10,174.80

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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.