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Finding the Fourth Proportional to 9,807.38, 13,545.20 and 7,596.00

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Solution

The fourth proportional to 9,807.38, 13,545.20 and 7,596.00 is: 10,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.38 : 13,545.20 = 7,596.00 : x
  2. Step 2: Convert to fraction form
    9,807.38/13,545.20 = 7,596.00/x
  3. Step 3: Cross multiply
    9,807.38x = 13,545.20 × 7,596.00
  4. Step 4: Simplify right side
    9,807.38x = 102,889,374.92
  5. Step 5: Solve for x
    x = 102,889,374.92/9,807.38
  6. Step 6: Final answer
    x = 10,491.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.