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Finding the Fourth Proportional to 9,057.39, 12,499.44 and 5,078.41

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Solution

The fourth proportional to 9,057.39, 12,499.44 and 5,078.41 is: 7,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.39 : 12,499.44 = 5,078.41 : x
  2. Step 2: Convert to fraction form
    9,057.39/12,499.44 = 5,078.41/x
  3. Step 3: Cross multiply
    9,057.39x = 12,499.44 × 5,078.41
  4. Step 4: Simplify right side
    9,057.39x = 63,477,315.39
  5. Step 5: Solve for x
    x = 63,477,315.39/9,057.39
  6. Step 6: Final answer
    x = 7,008.35

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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.