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Finding the Fourth Proportional to 7,129.06, 9,840.89 and 4,770.34

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Solution

The fourth proportional to 7,129.06, 9,840.89 and 4,770.34 is: 6,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.06 : 9,840.89 = 4,770.34 : x
  2. Step 2: Convert to fraction form
    7,129.06/9,840.89 = 4,770.34/x
  3. Step 3: Cross multiply
    7,129.06x = 9,840.89 × 4,770.34
  4. Step 4: Simplify right side
    7,129.06x = 46,944,391.20
  5. Step 5: Solve for x
    x = 46,944,391.20/7,129.06
  6. Step 6: Final answer
    x = 6,584.93

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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.