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Finding the Fourth Proportional to 6,360.57, 9,541.05 and 5,430.27

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Solution

The fourth proportional to 6,360.57, 9,541.05 and 5,430.27 is: 8,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360.57 : 9,541.05 = 5,430.27 : x
  2. Step 2: Convert to fraction form
    6,360.57/9,541.05 = 5,430.27/x
  3. Step 3: Cross multiply
    6,360.57x = 9,541.05 × 5,430.27
  4. Step 4: Simplify right side
    6,360.57x = 51,810,477.58
  5. Step 5: Solve for x
    x = 51,810,477.58/6,360.57
  6. Step 6: Final answer
    x = 8,145.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.