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Finding the Fourth Proportional to 6,904.32, 9,528.06 and 3,760.50

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Solution

The fourth proportional to 6,904.32, 9,528.06 and 3,760.50 is: 5,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.32 : 9,528.06 = 3,760.50 : x
  2. Step 2: Convert to fraction form
    6,904.32/9,528.06 = 3,760.50/x
  3. Step 3: Cross multiply
    6,904.32x = 9,528.06 × 3,760.50
  4. Step 4: Simplify right side
    6,904.32x = 35,830,250.83
  5. Step 5: Solve for x
    x = 35,830,250.83/6,904.32
  6. Step 6: Final answer
    x = 5,189.54

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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.