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Finding the Fourth Proportional to 6,503.24, 9,740.28 and 6,284.54

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Solution

The fourth proportional to 6,503.24, 9,740.28 and 6,284.54 is: 9,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.24 : 9,740.28 = 6,284.54 : x
  2. Step 2: Convert to fraction form
    6,503.24/9,740.28 = 6,284.54/x
  3. Step 3: Cross multiply
    6,503.24x = 9,740.28 × 6,284.54
  4. Step 4: Simplify right side
    6,503.24x = 61,213,179.27
  5. Step 5: Solve for x
    x = 61,213,179.27/6,503.24
  6. Step 6: Final answer
    x = 9,412.72

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