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Finding the Fourth Proportional to 9,547, 14,321.24 and 3,391

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Solution

The fourth proportional to 9,547, 14,321.24 and 3,391 is: 5,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547 : 14,321.24 = 3,391 : x
  2. Step 2: Convert to fraction form
    9,547/14,321.24 = 3,391/x
  3. Step 3: Cross multiply
    9,547x = 14,321.24 × 3,391
  4. Step 4: Simplify right side
    9,547x = 48,563,324.84
  5. Step 5: Solve for x
    x = 48,563,324.84/9,547
  6. Step 6: Final answer
    x = 5,086.76

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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.