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Finding the Fourth Proportional to 9,470.62, 14,206.00 and 4,204.21

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Solution

The fourth proportional to 9,470.62, 14,206.00 and 4,204.21 is: 6,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.62 : 14,206.00 = 4,204.21 : x
  2. Step 2: Convert to fraction form
    9,470.62/14,206.00 = 4,204.21/x
  3. Step 3: Cross multiply
    9,470.62x = 14,206.00 × 4,204.21
  4. Step 4: Simplify right side
    9,470.62x = 59,725,032.26
  5. Step 5: Solve for x
    x = 59,725,032.26/9,470.62
  6. Step 6: Final answer
    x = 6,306.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.