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Finding the Fourth Proportional to 6,583.76, 9,088.57 and 4,197.01

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Solution

The fourth proportional to 6,583.76, 9,088.57 and 4,197.01 is: 5,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.76 : 9,088.57 = 4,197.01 : x
  2. Step 2: Convert to fraction form
    6,583.76/9,088.57 = 4,197.01/x
  3. Step 3: Cross multiply
    6,583.76x = 9,088.57 × 4,197.01
  4. Step 4: Simplify right side
    6,583.76x = 38,144,819.18
  5. Step 5: Solve for x
    x = 38,144,819.18/6,583.76
  6. Step 6: Final answer
    x = 5,793.77

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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.