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Finding the Fourth Proportional to 6,893.42, 9,510.16 and 4,056.29

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Solution

The fourth proportional to 6,893.42, 9,510.16 and 4,056.29 is: 5,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.42 : 9,510.16 = 4,056.29 : x
  2. Step 2: Convert to fraction form
    6,893.42/9,510.16 = 4,056.29/x
  3. Step 3: Cross multiply
    6,893.42x = 9,510.16 × 4,056.29
  4. Step 4: Simplify right side
    6,893.42x = 38,576,005.98
  5. Step 5: Solve for x
    x = 38,576,005.98/6,893.42
  6. Step 6: Final answer
    x = 5,596.06

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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.