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Finding the Fourth Proportional to 9,497.89, 13,106.83 and 5,306.14

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Solution

The fourth proportional to 9,497.89, 13,106.83 and 5,306.14 is: 7,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.89 : 13,106.83 = 5,306.14 : x
  2. Step 2: Convert to fraction form
    9,497.89/13,106.83 = 5,306.14/x
  3. Step 3: Cross multiply
    9,497.89x = 13,106.83 × 5,306.14
  4. Step 4: Simplify right side
    9,497.89x = 69,546,582.87
  5. Step 5: Solve for x
    x = 69,546,582.87/9,497.89
  6. Step 6: Final answer
    x = 7,322.32

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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.