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Finding the Fourth Proportional to 35,514.95, 53,272.52 and 9,219.92

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Solution

The fourth proportional to 35,514.95, 53,272.52 and 9,219.92 is: 13,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514.95 : 53,272.52 = 9,219.92 : x
  2. Step 2: Convert to fraction form
    35,514.95/53,272.52 = 9,219.92/x
  3. Step 3: Cross multiply
    35,514.95x = 53,272.52 × 9,219.92
  4. Step 4: Simplify right side
    35,514.95x = 491,168,060.14
  5. Step 5: Solve for x
    x = 491,168,060.14/35,514.95
  6. Step 6: Final answer
    x = 13,829.90

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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.