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Finding the Fourth Proportional to 9,408.98, 14,095.14 and 4,471.82

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Solution

The fourth proportional to 9,408.98, 14,095.14 and 4,471.82 is: 6,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.98 : 14,095.14 = 4,471.82 : x
  2. Step 2: Convert to fraction form
    9,408.98/14,095.14 = 4,471.82/x
  3. Step 3: Cross multiply
    9,408.98x = 14,095.14 × 4,471.82
  4. Step 4: Simplify right side
    9,408.98x = 63,030,928.95
  5. Step 5: Solve for x
    x = 63,030,928.95/9,408.98
  6. Step 6: Final answer
    x = 6,699.02

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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.