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Finding the Fourth Proportional to 9,306.07, 12,844.59 and 5,329.48

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Solution

The fourth proportional to 9,306.07, 12,844.59 and 5,329.48 is: 7,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.07 : 12,844.59 = 5,329.48 : x
  2. Step 2: Convert to fraction form
    9,306.07/12,844.59 = 5,329.48/x
  3. Step 3: Cross multiply
    9,306.07x = 12,844.59 × 5,329.48
  4. Step 4: Simplify right side
    9,306.07x = 68,454,985.51
  5. Step 5: Solve for x
    x = 68,454,985.51/9,306.07
  6. Step 6: Final answer
    x = 7,355.95

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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.