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Finding the Fourth Proportional to 6,361.32, 9,545.18 and 4,305

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Solution

The fourth proportional to 6,361.32, 9,545.18 and 4,305 is: 6,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.32 : 9,545.18 = 4,305 : x
  2. Step 2: Convert to fraction form
    6,361.32/9,545.18 = 4,305/x
  3. Step 3: Cross multiply
    6,361.32x = 9,545.18 × 4,305
  4. Step 4: Simplify right side
    6,361.32x = 41,091,999.90
  5. Step 5: Solve for x
    x = 41,091,999.90/6,361.32
  6. Step 6: Final answer
    x = 6,459.67

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Why These Related Problems?

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