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Finding the Fourth Proportional to 6,423.40, 8,865.30 and 4,654.36

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Solution

The fourth proportional to 6,423.40, 8,865.30 and 4,654.36 is: 6,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.40 : 8,865.30 = 4,654.36 : x
  2. Step 2: Convert to fraction form
    6,423.40/8,865.30 = 4,654.36/x
  3. Step 3: Cross multiply
    6,423.40x = 8,865.30 × 4,654.36
  4. Step 4: Simplify right side
    6,423.40x = 41,262,297.71
  5. Step 5: Solve for x
    x = 41,262,297.71/6,423.40
  6. Step 6: Final answer
    x = 6,423.75

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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.