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Finding the Fourth Proportional to 6,442.34, 8,889.48 and 3,609.32

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Solution

The fourth proportional to 6,442.34, 8,889.48 and 3,609.32 is: 4,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.34 : 8,889.48 = 3,609.32 : x
  2. Step 2: Convert to fraction form
    6,442.34/8,889.48 = 3,609.32/x
  3. Step 3: Cross multiply
    6,442.34x = 8,889.48 × 3,609.32
  4. Step 4: Simplify right side
    6,442.34x = 32,084,933.51
  5. Step 5: Solve for x
    x = 32,084,933.51/6,442.34
  6. Step 6: Final answer
    x = 4,980.33

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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.