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Finding the Fourth Proportional to 35,534.95, 53,296.01 and 9,238.07

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Solution

The fourth proportional to 35,534.95, 53,296.01 and 9,238.07 is: 13,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534.95 : 53,296.01 = 9,238.07 : x
  2. Step 2: Convert to fraction form
    35,534.95/53,296.01 = 9,238.07/x
  3. Step 3: Cross multiply
    35,534.95x = 53,296.01 × 9,238.07
  4. Step 4: Simplify right side
    35,534.95x = 492,352,224.91
  5. Step 5: Solve for x
    x = 492,352,224.91/35,534.95
  6. Step 6: Final answer
    x = 13,855.44

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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.