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Finding the Fourth Proportional to 9,050.94, 12,493.58 and 5,646.41

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Solution

The fourth proportional to 9,050.94, 12,493.58 and 5,646.41 is: 7,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.94 : 12,493.58 = 5,646.41 : x
  2. Step 2: Convert to fraction form
    9,050.94/12,493.58 = 5,646.41/x
  3. Step 3: Cross multiply
    9,050.94x = 12,493.58 × 5,646.41
  4. Step 4: Simplify right side
    9,050.94x = 70,543,831.20
  5. Step 5: Solve for x
    x = 70,543,831.20/9,050.94
  6. Step 6: Final answer
    x = 7,794.09

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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.