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Finding the Fourth Proportional to 6,309.91, 9,465.99 and 2,360.71

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Solution

The fourth proportional to 6,309.91, 9,465.99 and 2,360.71 is: 3,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.91 : 9,465.99 = 2,360.71 : x
  2. Step 2: Convert to fraction form
    6,309.91/9,465.99 = 2,360.71/x
  3. Step 3: Cross multiply
    6,309.91x = 9,465.99 × 2,360.71
  4. Step 4: Simplify right side
    6,309.91x = 22,346,457.25
  5. Step 5: Solve for x
    x = 22,346,457.25/6,309.91
  6. Step 6: Final answer
    x = 3,541.49

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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.