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Finding the Fourth Proportional to 9,470.34, 13,069.14 and 5,935.62

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Solution

The fourth proportional to 9,470.34, 13,069.14 and 5,935.62 is: 8,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.34 : 13,069.14 = 5,935.62 : x
  2. Step 2: Convert to fraction form
    9,470.34/13,069.14 = 5,935.62/x
  3. Step 3: Cross multiply
    9,470.34x = 13,069.14 × 5,935.62
  4. Step 4: Simplify right side
    9,470.34x = 77,573,448.77
  5. Step 5: Solve for x
    x = 77,573,448.77/9,470.34
  6. Step 6: Final answer
    x = 8,191.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.