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Finding the Fourth Proportional to 6,904.75, 9,529.79 and 4,071.95

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Solution

The fourth proportional to 6,904.75, 9,529.79 and 4,071.95 is: 5,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.75 : 9,529.79 = 4,071.95 : x
  2. Step 2: Convert to fraction form
    6,904.75/9,529.79 = 4,071.95/x
  3. Step 3: Cross multiply
    6,904.75x = 9,529.79 × 4,071.95
  4. Step 4: Simplify right side
    6,904.75x = 38,804,828.39
  5. Step 5: Solve for x
    x = 38,804,828.39/6,904.75
  6. Step 6: Final answer
    x = 5,620.02

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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.