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Finding the Fourth Proportional to 9,418.86, 12,997.46 and 5,643.98

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Solution

The fourth proportional to 9,418.86, 12,997.46 and 5,643.98 is: 7,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.86 : 12,997.46 = 5,643.98 : x
  2. Step 2: Convert to fraction form
    9,418.86/12,997.46 = 5,643.98/x
  3. Step 3: Cross multiply
    9,418.86x = 12,997.46 × 5,643.98
  4. Step 4: Simplify right side
    9,418.86x = 73,357,404.29
  5. Step 5: Solve for x
    x = 73,357,404.29/9,418.86
  6. Step 6: Final answer
    x = 7,788.35

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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.