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Finding the Fourth Proportional to 7,002.32, 9,649.90 and 5,009.41

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Solution

The fourth proportional to 7,002.32, 9,649.90 and 5,009.41 is: 6,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.32 : 9,649.90 = 5,009.41 : x
  2. Step 2: Convert to fraction form
    7,002.32/9,649.90 = 5,009.41/x
  3. Step 3: Cross multiply
    7,002.32x = 9,649.90 × 5,009.41
  4. Step 4: Simplify right side
    7,002.32x = 48,340,323.88
  5. Step 5: Solve for x
    x = 48,340,323.88/7,002.32
  6. Step 6: Final answer
    x = 6,903.48

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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.