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Finding the Fourth Proportional to 9,614.40, 13,252.32 and 8,059.20

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Solution

The fourth proportional to 9,614.40, 13,252.32 and 8,059.20 is: 11,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.40 : 13,252.32 = 8,059.20 : x
  2. Step 2: Convert to fraction form
    9,614.40/13,252.32 = 8,059.20/x
  3. Step 3: Cross multiply
    9,614.40x = 13,252.32 × 8,059.20
  4. Step 4: Simplify right side
    9,614.40x = 106,803,097.34
  5. Step 5: Solve for x
    x = 106,803,097.34/9,614.40
  6. Step 6: Final answer
    x = 11,108.66

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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.