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Finding the Fourth Proportional to 35,562.64, 53,345.22 and 9,266.44

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Solution

The fourth proportional to 35,562.64, 53,345.22 and 9,266.44 is: 13,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,562.64 : 53,345.22 = 9,266.44 : x
  2. Step 2: Convert to fraction form
    35,562.64/53,345.22 = 9,266.44/x
  3. Step 3: Cross multiply
    35,562.64x = 53,345.22 × 9,266.44
  4. Step 4: Simplify right side
    35,562.64x = 494,320,280.42
  5. Step 5: Solve for x
    x = 494,320,280.42/35,562.64
  6. Step 6: Final answer
    x = 13,899.99

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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.