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Finding the Fourth Proportional to 7,164.90, 9,885.42 and 4,333.32

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Solution

The fourth proportional to 7,164.90, 9,885.42 and 4,333.32 is: 5,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.90 : 9,885.42 = 4,333.32 : x
  2. Step 2: Convert to fraction form
    7,164.90/9,885.42 = 4,333.32/x
  3. Step 3: Cross multiply
    7,164.90x = 9,885.42 × 4,333.32
  4. Step 4: Simplify right side
    7,164.90x = 42,836,688.19
  5. Step 5: Solve for x
    x = 42,836,688.19/7,164.90
  6. Step 6: Final answer
    x = 5,978.69

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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.