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Finding the Fourth Proportional to 9,404.80, 14,117.46 and 6,931.96

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Solution

The fourth proportional to 9,404.80, 14,117.46 and 6,931.96 is: 10,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.80 : 14,117.46 = 6,931.96 : x
  2. Step 2: Convert to fraction form
    9,404.80/14,117.46 = 6,931.96/x
  3. Step 3: Cross multiply
    9,404.80x = 14,117.46 × 6,931.96
  4. Step 4: Simplify right side
    9,404.80x = 97,861,668.02
  5. Step 5: Solve for x
    x = 97,861,668.02/9,404.80
  6. Step 6: Final answer
    x = 10,405.50

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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.