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Finding the Fourth Proportional to 9,535.86, 13,148.73 and 7,805.70

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Solution

The fourth proportional to 9,535.86, 13,148.73 and 7,805.70 is: 10,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.86 : 13,148.73 = 7,805.70 : x
  2. Step 2: Convert to fraction form
    9,535.86/13,148.73 = 7,805.70/x
  3. Step 3: Cross multiply
    9,535.86x = 13,148.73 × 7,805.70
  4. Step 4: Simplify right side
    9,535.86x = 102,635,041.76
  5. Step 5: Solve for x
    x = 102,635,041.76/9,535.86
  6. Step 6: Final answer
    x = 10,763.06

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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.