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Finding the Fourth Proportional to 9,307.44, 12,829.32 and 8,544.42

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Solution

The fourth proportional to 9,307.44, 12,829.32 and 8,544.42 is: 11,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.44 : 12,829.32 = 8,544.42 : x
  2. Step 2: Convert to fraction form
    9,307.44/12,829.32 = 8,544.42/x
  3. Step 3: Cross multiply
    9,307.44x = 12,829.32 × 8,544.42
  4. Step 4: Simplify right side
    9,307.44x = 109,619,098.39
  5. Step 5: Solve for x
    x = 109,619,098.39/9,307.44
  6. Step 6: Final answer
    x = 11,777.58

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1.5x scale

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.