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Finding the Fourth Proportional to 9,690.19, 13,372.88 and 5,498.83

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Solution

The fourth proportional to 9,690.19, 13,372.88 and 5,498.83 is: 7,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.19 : 13,372.88 = 5,498.83 : x
  2. Step 2: Convert to fraction form
    9,690.19/13,372.88 = 5,498.83/x
  3. Step 3: Cross multiply
    9,690.19x = 13,372.88 × 5,498.83
  4. Step 4: Simplify right side
    9,690.19x = 73,535,193.73
  5. Step 5: Solve for x
    x = 73,535,193.73/9,690.19
  6. Step 6: Final answer
    x = 7,588.62

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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.