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Finding the Fourth Proportional to 28,003, 42,002.14 and 9,276.90

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Solution

The fourth proportional to 28,003, 42,002.14 and 9,276.90 is: 13,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,003 : 42,002.14 = 9,276.90 : x
  2. Step 2: Convert to fraction form
    28,003/42,002.14 = 9,276.90/x
  3. Step 3: Cross multiply
    28,003x = 42,002.14 × 9,276.90
  4. Step 4: Simplify right side
    28,003x = 389,649,652.57
  5. Step 5: Solve for x
    x = 389,649,652.57/28,003
  6. Step 6: Final answer
    x = 13,914.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.