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Finding the Fourth Proportional to 8,917.12, 12,277.47 and 7,854.22

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Solution

The fourth proportional to 8,917.12, 12,277.47 and 7,854.22 is: 10,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.12 : 12,277.47 = 7,854.22 : x
  2. Step 2: Convert to fraction form
    8,917.12/12,277.47 = 7,854.22/x
  3. Step 3: Cross multiply
    8,917.12x = 12,277.47 × 7,854.22
  4. Step 4: Simplify right side
    8,917.12x = 96,429,950.42
  5. Step 5: Solve for x
    x = 96,429,950.42/8,917.12
  6. Step 6: Final answer
    x = 10,814.02

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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.