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Finding the Fourth Proportional to 9,782.08, 14,673.12 and 7,825.12

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Solution

The fourth proportional to 9,782.08, 14,673.12 and 7,825.12 is: 11,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.08 : 14,673.12 = 7,825.12 : x
  2. Step 2: Convert to fraction form
    9,782.08/14,673.12 = 7,825.12/x
  3. Step 3: Cross multiply
    9,782.08x = 14,673.12 × 7,825.12
  4. Step 4: Simplify right side
    9,782.08x = 114,818,924.77
  5. Step 5: Solve for x
    x = 114,818,924.77/9,782.08
  6. Step 6: Final answer
    x = 11,737.68

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.