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Finding the Fourth Proportional to 6,314.49, 9,457.16 and 6,095.79

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Solution

The fourth proportional to 6,314.49, 9,457.16 and 6,095.79 is: 9,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.49 : 9,457.16 = 6,095.79 : x
  2. Step 2: Convert to fraction form
    6,314.49/9,457.16 = 6,095.79/x
  3. Step 3: Cross multiply
    6,314.49x = 9,457.16 × 6,095.79
  4. Step 4: Simplify right side
    6,314.49x = 57,648,830.88
  5. Step 5: Solve for x
    x = 57,648,830.88/6,314.49
  6. Step 6: Final answer
    x = 9,129.61

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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.