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Finding the Fourth Proportional to 7,164.32, 9,887.20 and 4,770.16

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Solution

The fourth proportional to 7,164.32, 9,887.20 and 4,770.16 is: 6,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.32 : 9,887.20 = 4,770.16 : x
  2. Step 2: Convert to fraction form
    7,164.32/9,887.20 = 4,770.16/x
  3. Step 3: Cross multiply
    7,164.32x = 9,887.20 × 4,770.16
  4. Step 4: Simplify right side
    7,164.32x = 47,163,489.31
  5. Step 5: Solve for x
    x = 47,163,489.31/7,164.32
  6. Step 6: Final answer
    x = 6,583.11

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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.