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Finding the Fourth Proportional to 6,558.66, 9,838.96 and 2,341.58

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Solution

The fourth proportional to 6,558.66, 9,838.96 and 2,341.58 is: 3,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.66 : 9,838.96 = 2,341.58 : x
  2. Step 2: Convert to fraction form
    6,558.66/9,838.96 = 2,341.58/x
  3. Step 3: Cross multiply
    6,558.66x = 9,838.96 × 2,341.58
  4. Step 4: Simplify right side
    6,558.66x = 23,038,737.73
  5. Step 5: Solve for x
    x = 23,038,737.73/6,558.66
  6. Step 6: Final answer
    x = 3,512.72

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