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Finding the Fourth Proportional to 9,470.76, 14,214.92 and 4,794.08

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Solution

The fourth proportional to 9,470.76, 14,214.92 and 4,794.08 is: 7,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.76 : 14,214.92 = 4,794.08 : x
  2. Step 2: Convert to fraction form
    9,470.76/14,214.92 = 4,794.08/x
  3. Step 3: Cross multiply
    9,470.76x = 14,214.92 × 4,794.08
  4. Step 4: Simplify right side
    9,470.76x = 68,147,368.63
  5. Step 5: Solve for x
    x = 68,147,368.63/9,470.76
  6. Step 6: Final answer
    x = 7,195.55

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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.