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Finding the Fourth Proportional to 9,498.81, 13,123.61 and 8,097.30

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Solution

The fourth proportional to 9,498.81, 13,123.61 and 8,097.30 is: 11,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.81 : 13,123.61 = 8,097.30 : x
  2. Step 2: Convert to fraction form
    9,498.81/13,123.61 = 8,097.30/x
  3. Step 3: Cross multiply
    9,498.81x = 13,123.61 × 8,097.30
  4. Step 4: Simplify right side
    9,498.81x = 106,265,807.25
  5. Step 5: Solve for x
    x = 106,265,807.25/9,498.81
  6. Step 6: Final answer
    x = 11,187.28

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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.