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Finding the Fourth Proportional to 9,193.84, 12,684.12 and 5,883.76

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Solution

The fourth proportional to 9,193.84, 12,684.12 and 5,883.76 is: 8,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.84 : 12,684.12 = 5,883.76 : x
  2. Step 2: Convert to fraction form
    9,193.84/12,684.12 = 5,883.76/x
  3. Step 3: Cross multiply
    9,193.84x = 12,684.12 × 5,883.76
  4. Step 4: Simplify right side
    9,193.84x = 74,630,317.89
  5. Step 5: Solve for x
    x = 74,630,317.89/9,193.84
  6. Step 6: Final answer
    x = 8,117.43

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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.