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Finding the Fourth Proportional to 6,530.16, 9,014.04 and 4,770.84

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Solution

The fourth proportional to 6,530.16, 9,014.04 and 4,770.84 is: 6,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.16 : 9,014.04 = 4,770.84 : x
  2. Step 2: Convert to fraction form
    6,530.16/9,014.04 = 4,770.84/x
  3. Step 3: Cross multiply
    6,530.16x = 9,014.04 × 4,770.84
  4. Step 4: Simplify right side
    6,530.16x = 43,004,542.59
  5. Step 5: Solve for x
    x = 43,004,542.59/6,530.16
  6. Step 6: Final answer
    x = 6,585.53

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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.