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Finding the Fourth Proportional to 6,904.95, 9,529.71 and 5,141.58

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Solution

The fourth proportional to 6,904.95, 9,529.71 and 5,141.58 is: 7,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.95 : 9,529.71 = 5,141.58 : x
  2. Step 2: Convert to fraction form
    6,904.95/9,529.71 = 5,141.58/x
  3. Step 3: Cross multiply
    6,904.95x = 9,529.71 × 5,141.58
  4. Step 4: Simplify right side
    6,904.95x = 48,997,766.34
  5. Step 5: Solve for x
    x = 48,997,766.34/6,904.95
  6. Step 6: Final answer
    x = 7,096.03

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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.