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Finding the Fourth Proportional to 9,402.99, 14,097.81 and 4,719.61

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Solution

The fourth proportional to 9,402.99, 14,097.81 and 4,719.61 is: 7,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.99 : 14,097.81 = 4,719.61 : x
  2. Step 2: Convert to fraction form
    9,402.99/14,097.81 = 4,719.61/x
  3. Step 3: Cross multiply
    9,402.99x = 14,097.81 × 4,719.61
  4. Step 4: Simplify right side
    9,402.99x = 66,536,200.37
  5. Step 5: Solve for x
    x = 66,536,200.37/9,402.99
  6. Step 6: Final answer
    x = 7,076.07

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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.