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Finding the Fourth Proportional to 9,274, 13,913.96 and 2,700.58

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Solution

The fourth proportional to 9,274, 13,913.96 and 2,700.58 is: 4,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274 : 13,913.96 = 2,700.58 : x
  2. Step 2: Convert to fraction form
    9,274/13,913.96 = 2,700.58/x
  3. Step 3: Cross multiply
    9,274x = 13,913.96 × 2,700.58
  4. Step 4: Simplify right side
    9,274x = 37,575,762.10
  5. Step 5: Solve for x
    x = 37,575,762.10/9,274
  6. Step 6: Final answer
    x = 4,051.73

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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.