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Finding the Fourth Proportional to 6,500.55, 8,972.46 and 3,848.76

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Solution

The fourth proportional to 6,500.55, 8,972.46 and 3,848.76 is: 5,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.55 : 8,972.46 = 3,848.76 : x
  2. Step 2: Convert to fraction form
    6,500.55/8,972.46 = 3,848.76/x
  3. Step 3: Cross multiply
    6,500.55x = 8,972.46 × 3,848.76
  4. Step 4: Simplify right side
    6,500.55x = 34,532,845.15
  5. Step 5: Solve for x
    x = 34,532,845.15/6,500.55
  6. Step 6: Final answer
    x = 5,312.30

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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.