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Finding the Fourth Proportional to 9,403.83, 12,977.25 and 5,424.93

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Solution

The fourth proportional to 9,403.83, 12,977.25 and 5,424.93 is: 7,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.83 : 12,977.25 = 5,424.93 : x
  2. Step 2: Convert to fraction form
    9,403.83/12,977.25 = 5,424.93/x
  3. Step 3: Cross multiply
    9,403.83x = 12,977.25 × 5,424.93
  4. Step 4: Simplify right side
    9,403.83x = 70,400,672.84
  5. Step 5: Solve for x
    x = 70,400,672.84/9,403.83
  6. Step 6: Final answer
    x = 7,486.38

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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.