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Finding the Fourth Proportional to 35,714.86, 53,567.97 and 9,421.59

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Solution

The fourth proportional to 35,714.86, 53,567.97 and 9,421.59 is: 14,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.86 : 53,567.97 = 9,421.59 : x
  2. Step 2: Convert to fraction form
    35,714.86/53,567.97 = 9,421.59/x
  3. Step 3: Cross multiply
    35,714.86x = 53,567.97 × 9,421.59
  4. Step 4: Simplify right side
    35,714.86x = 504,695,450.47
  5. Step 5: Solve for x
    x = 504,695,450.47/35,714.86
  6. Step 6: Final answer
    x = 14,131.25

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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.