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Finding the Fourth Proportional to 9,064, 12,508.34 and 5,289.76

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Solution

The fourth proportional to 9,064, 12,508.34 and 5,289.76 is: 7,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064 : 12,508.34 = 5,289.76 : x
  2. Step 2: Convert to fraction form
    9,064/12,508.34 = 5,289.76/x
  3. Step 3: Cross multiply
    9,064x = 12,508.34 × 5,289.76
  4. Step 4: Simplify right side
    9,064x = 66,166,116.60
  5. Step 5: Solve for x
    x = 66,166,116.60/9,064
  6. Step 6: Final answer
    x = 7,299.88

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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.