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Finding the Fourth Proportional to 6,917.76, 9,543.60 and 4,823.10

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Solution

The fourth proportional to 6,917.76, 9,543.60 and 4,823.10 is: 6,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.76 : 9,543.60 = 4,823.10 : x
  2. Step 2: Convert to fraction form
    6,917.76/9,543.60 = 4,823.10/x
  3. Step 3: Cross multiply
    6,917.76x = 9,543.60 × 4,823.10
  4. Step 4: Simplify right side
    6,917.76x = 46,029,737.16
  5. Step 5: Solve for x
    x = 46,029,737.16/6,917.76
  6. Step 6: Final answer
    x = 6,653.85

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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.