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Finding the Fourth Proportional to 9,064, 12,496.74 and 5,871.65

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Solution

The fourth proportional to 9,064, 12,496.74 and 5,871.65 is: 8,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064 : 12,496.74 = 5,871.65 : x
  2. Step 2: Convert to fraction form
    9,064/12,496.74 = 5,871.65/x
  3. Step 3: Cross multiply
    9,064x = 12,496.74 × 5,871.65
  4. Step 4: Simplify right side
    9,064x = 73,376,483.42
  5. Step 5: Solve for x
    x = 73,376,483.42/9,064
  6. Step 6: Final answer
    x = 8,095.38

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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.