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Finding the Fourth Proportional to 6,364.14, 9,541.26 and 3,030.68

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Solution

The fourth proportional to 6,364.14, 9,541.26 and 3,030.68 is: 4,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.14 : 9,541.26 = 3,030.68 : x
  2. Step 2: Convert to fraction form
    6,364.14/9,541.26 = 3,030.68/x
  3. Step 3: Cross multiply
    6,364.14x = 9,541.26 × 3,030.68
  4. Step 4: Simplify right side
    6,364.14x = 28,916,505.86
  5. Step 5: Solve for x
    x = 28,916,505.86/6,364.14
  6. Step 6: Final answer
    x = 4,543.66

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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.