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Finding the Fourth Proportional to 9,306.39, 13,934.73 and 7,830.18

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Solution

The fourth proportional to 9,306.39, 13,934.73 and 7,830.18 is: 11,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.39 : 13,934.73 = 7,830.18 : x
  2. Step 2: Convert to fraction form
    9,306.39/13,934.73 = 7,830.18/x
  3. Step 3: Cross multiply
    9,306.39x = 13,934.73 × 7,830.18
  4. Step 4: Simplify right side
    9,306.39x = 109,111,444.15
  5. Step 5: Solve for x
    x = 109,111,444.15/9,306.39
  6. Step 6: Final answer
    x = 11,724.36

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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.