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Finding the Fourth Proportional to 9,347.00, 12,898.04 and 5,367.87

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Solution

The fourth proportional to 9,347.00, 12,898.04 and 5,367.87 is: 7,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.00 : 12,898.04 = 5,367.87 : x
  2. Step 2: Convert to fraction form
    9,347.00/12,898.04 = 5,367.87/x
  3. Step 3: Cross multiply
    9,347.00x = 12,898.04 × 5,367.87
  4. Step 4: Simplify right side
    9,347.00x = 69,234,975.14
  5. Step 5: Solve for x
    x = 69,234,975.14/9,347.00
  6. Step 6: Final answer
    x = 7,407.19

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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.