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Finding the Fourth Proportional to 9,197.61, 13,798.47 and 3,354.22

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Solution

The fourth proportional to 9,197.61, 13,798.47 and 3,354.22 is: 5,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.61 : 13,798.47 = 3,354.22 : x
  2. Step 2: Convert to fraction form
    9,197.61/13,798.47 = 3,354.22/x
  3. Step 3: Cross multiply
    9,197.61x = 13,798.47 × 3,354.22
  4. Step 4: Simplify right side
    9,197.61x = 46,283,018.28
  5. Step 5: Solve for x
    x = 46,283,018.28/9,197.61
  6. Step 6: Final answer
    x = 5,032.07

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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.