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Finding the Fourth Proportional to 6,442.64, 9,663.94 and 2,059.06

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Solution

The fourth proportional to 6,442.64, 9,663.94 and 2,059.06 is: 3,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.64 : 9,663.94 = 2,059.06 : x
  2. Step 2: Convert to fraction form
    6,442.64/9,663.94 = 2,059.06/x
  3. Step 3: Cross multiply
    6,442.64x = 9,663.94 × 2,059.06
  4. Step 4: Simplify right side
    6,442.64x = 19,898,632.30
  5. Step 5: Solve for x
    x = 19,898,632.30/6,442.64
  6. Step 6: Final answer
    x = 3,088.58

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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.