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Finding the Fourth Proportional to 6,646.32, 9,161.90 and 5,465.34

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Solution

The fourth proportional to 6,646.32, 9,161.90 and 5,465.34 is: 7,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.32 : 9,161.90 = 5,465.34 : x
  2. Step 2: Convert to fraction form
    6,646.32/9,161.90 = 5,465.34/x
  3. Step 3: Cross multiply
    6,646.32x = 9,161.90 × 5,465.34
  4. Step 4: Simplify right side
    6,646.32x = 50,072,898.55
  5. Step 5: Solve for x
    x = 50,072,898.55/6,646.32
  6. Step 6: Final answer
    x = 7,533.93

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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.