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Finding the Fourth Proportional to 35,714.48, 53,575.32 and 9,421.04

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Solution

The fourth proportional to 35,714.48, 53,575.32 and 9,421.04 is: 14,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.48 : 53,575.32 = 9,421.04 : x
  2. Step 2: Convert to fraction form
    35,714.48/53,575.32 = 9,421.04/x
  3. Step 3: Cross multiply
    35,714.48x = 53,575.32 × 9,421.04
  4. Step 4: Simplify right side
    35,714.48x = 504,735,232.73
  5. Step 5: Solve for x
    x = 504,735,232.73/35,714.48
  6. Step 6: Final answer
    x = 14,132.51

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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.