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Finding the Fourth Proportional to 6,904.64, 9,527.94 and 4,071.87

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Solution

The fourth proportional to 6,904.64, 9,527.94 and 4,071.87 is: 5,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.64 : 9,527.94 = 4,071.87 : x
  2. Step 2: Convert to fraction form
    6,904.64/9,527.94 = 4,071.87/x
  3. Step 3: Cross multiply
    6,904.64x = 9,527.94 × 4,071.87
  4. Step 4: Simplify right side
    6,904.64x = 38,796,533.05
  5. Step 5: Solve for x
    x = 38,796,533.05/6,904.64
  6. Step 6: Final answer
    x = 5,618.91

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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.