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Finding the Fourth Proportional to 35,714.44, 53,567.10 and 9,421.16

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Solution

The fourth proportional to 35,714.44, 53,567.10 and 9,421.16 is: 14,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.44 : 53,567.10 = 9,421.16 : x
  2. Step 2: Convert to fraction form
    35,714.44/53,567.10 = 9,421.16/x
  3. Step 3: Cross multiply
    35,714.44x = 53,567.10 × 9,421.16
  4. Step 4: Simplify right side
    35,714.44x = 504,664,219.84
  5. Step 5: Solve for x
    x = 504,664,219.84/35,714.44
  6. Step 6: Final answer
    x = 14,130.54

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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.