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Finding the Fourth Proportional to 7,129.12, 9,840.92 and 4,770.40

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Solution

The fourth proportional to 7,129.12, 9,840.92 and 4,770.40 is: 6,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.12 : 9,840.92 = 4,770.40 : x
  2. Step 2: Convert to fraction form
    7,129.12/9,840.92 = 4,770.40/x
  3. Step 3: Cross multiply
    7,129.12x = 9,840.92 × 4,770.40
  4. Step 4: Simplify right side
    7,129.12x = 46,945,124.77
  5. Step 5: Solve for x
    x = 46,945,124.77/7,129.12
  6. Step 6: Final answer
    x = 6,584.98

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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.