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Finding the Fourth Proportional to 8,917.04, 12,307.56 and 5,933

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Solution

The fourth proportional to 8,917.04, 12,307.56 and 5,933 is: 8,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.04 : 12,307.56 = 5,933 : x
  2. Step 2: Convert to fraction form
    8,917.04/12,307.56 = 5,933/x
  3. Step 3: Cross multiply
    8,917.04x = 12,307.56 × 5,933
  4. Step 4: Simplify right side
    8,917.04x = 73,020,753.48
  5. Step 5: Solve for x
    x = 73,020,753.48/8,917.04
  6. Step 6: Final answer
    x = 8,188.90

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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.