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Finding the Fourth Proportional to 9,815.36, 13,545.12 and 5,339.10

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Solution

The fourth proportional to 9,815.36, 13,545.12 and 5,339.10 is: 7,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.36 : 13,545.12 = 5,339.10 : x
  2. Step 2: Convert to fraction form
    9,815.36/13,545.12 = 5,339.10/x
  3. Step 3: Cross multiply
    9,815.36x = 13,545.12 × 5,339.10
  4. Step 4: Simplify right side
    9,815.36x = 72,318,750.19
  5. Step 5: Solve for x
    x = 72,318,750.19/9,815.36
  6. Step 6: Final answer
    x = 7,367.92

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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.