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Finding the Fourth Proportional to 9,598.44, 14,401.82 and 4,672.36

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Solution

The fourth proportional to 9,598.44, 14,401.82 and 4,672.36 is: 7,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.44 : 14,401.82 = 4,672.36 : x
  2. Step 2: Convert to fraction form
    9,598.44/14,401.82 = 4,672.36/x
  3. Step 3: Cross multiply
    9,598.44x = 14,401.82 × 4,672.36
  4. Step 4: Simplify right side
    9,598.44x = 67,290,487.70
  5. Step 5: Solve for x
    x = 67,290,487.70/9,598.44
  6. Step 6: Final answer
    x = 7,010.57

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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.