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Finding the Fourth Proportional to 6,560.64, 9,818.28 and 6,288.48

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Solution

The fourth proportional to 6,560.64, 9,818.28 and 6,288.48 is: 9,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.64 : 9,818.28 = 6,288.48 : x
  2. Step 2: Convert to fraction form
    6,560.64/9,818.28 = 6,288.48/x
  3. Step 3: Cross multiply
    6,560.64x = 9,818.28 × 6,288.48
  4. Step 4: Simplify right side
    6,560.64x = 61,742,057.41
  5. Step 5: Solve for x
    x = 61,742,057.41/6,560.64
  6. Step 6: Final answer
    x = 9,410.98

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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.