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Finding the Fourth Proportional to 9,598.96, 14,400.06 and 3,752.38

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Solution

The fourth proportional to 9,598.96, 14,400.06 and 3,752.38 is: 5,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.96 : 14,400.06 = 3,752.38 : x
  2. Step 2: Convert to fraction form
    9,598.96/14,400.06 = 3,752.38/x
  3. Step 3: Cross multiply
    9,598.96x = 14,400.06 × 3,752.38
  4. Step 4: Simplify right side
    9,598.96x = 54,034,497.14
  5. Step 5: Solve for x
    x = 54,034,497.14/9,598.96
  6. Step 6: Final answer
    x = 5,629.20

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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.