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Finding the Fourth Proportional to 9,637.92, 14,455.44 and 3,798.48

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Solution

The fourth proportional to 9,637.92, 14,455.44 and 3,798.48 is: 5,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.92 : 14,455.44 = 3,798.48 : x
  2. Step 2: Convert to fraction form
    9,637.92/14,455.44 = 3,798.48/x
  3. Step 3: Cross multiply
    9,637.92x = 14,455.44 × 3,798.48
  4. Step 4: Simplify right side
    9,637.92x = 54,908,699.73
  5. Step 5: Solve for x
    x = 54,908,699.73/9,637.92
  6. Step 6: Final answer
    x = 5,697.15

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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.