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Finding the Fourth Proportional to 6,913.29, 9,537.30 and 4,674.34

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Solution

The fourth proportional to 6,913.29, 9,537.30 and 4,674.34 is: 6,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.29 : 9,537.30 = 4,674.34 : x
  2. Step 2: Convert to fraction form
    6,913.29/9,537.30 = 4,674.34/x
  3. Step 3: Cross multiply
    6,913.29x = 9,537.30 × 4,674.34
  4. Step 4: Simplify right side
    6,913.29x = 44,580,582.88
  5. Step 5: Solve for x
    x = 44,580,582.88/6,913.29
  6. Step 6: Final answer
    x = 6,448.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.