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Finding the Fourth Proportional to 7,164.29, 9,884.34 and 4,332.53

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Solution

The fourth proportional to 7,164.29, 9,884.34 and 4,332.53 is: 5,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.29 : 9,884.34 = 4,332.53 : x
  2. Step 2: Convert to fraction form
    7,164.29/9,884.34 = 4,332.53/x
  3. Step 3: Cross multiply
    7,164.29x = 9,884.34 × 4,332.53
  4. Step 4: Simplify right side
    7,164.29x = 42,824,150.16
  5. Step 5: Solve for x
    x = 42,824,150.16/7,164.29
  6. Step 6: Final answer
    x = 5,977.45

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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.