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Finding the Fourth Proportional to 6,024.96, 9,051.30 and 4,274.31

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Solution

The fourth proportional to 6,024.96, 9,051.30 and 4,274.31 is: 6,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.96 : 9,051.30 = 4,274.31 : x
  2. Step 2: Convert to fraction form
    6,024.96/9,051.30 = 4,274.31/x
  3. Step 3: Cross multiply
    6,024.96x = 9,051.30 × 4,274.31
  4. Step 4: Simplify right side
    6,024.96x = 38,688,062.10
  5. Step 5: Solve for x
    x = 38,688,062.10/6,024.96
  6. Step 6: Final answer
    x = 6,421.30

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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.