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Finding the Fourth Proportional to 9,997.07, 14,997.62 and 2,977.20

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Solution

The fourth proportional to 9,997.07, 14,997.62 and 2,977.20 is: 4,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.07 : 14,997.62 = 2,977.20 : x
  2. Step 2: Convert to fraction form
    9,997.07/14,997.62 = 2,977.20/x
  3. Step 3: Cross multiply
    9,997.07x = 14,997.62 × 2,977.20
  4. Step 4: Simplify right side
    9,997.07x = 44,650,921.71
  5. Step 5: Solve for x
    x = 44,650,921.71/9,997.07
  6. Step 6: Final answer
    x = 4,466.40

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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.