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Finding the Fourth Proportional to 9,470.79, 14,206.20 and 6,186.63

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Solution

The fourth proportional to 9,470.79, 14,206.20 and 6,186.63 is: 9,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.79 : 14,206.20 = 6,186.63 : x
  2. Step 2: Convert to fraction form
    9,470.79/14,206.20 = 6,186.63/x
  3. Step 3: Cross multiply
    9,470.79x = 14,206.20 × 6,186.63
  4. Step 4: Simplify right side
    9,470.79x = 87,888,503.11
  5. Step 5: Solve for x
    x = 87,888,503.11/9,470.79
  6. Step 6: Final answer
    x = 9,279.95

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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.