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Finding the Fourth Proportional to 6,846.04, 9,439.64 and 5,056.10

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Solution

The fourth proportional to 6,846.04, 9,439.64 and 5,056.10 is: 6,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.04 : 9,439.64 = 5,056.10 : x
  2. Step 2: Convert to fraction form
    6,846.04/9,439.64 = 5,056.10/x
  3. Step 3: Cross multiply
    6,846.04x = 9,439.64 × 5,056.10
  4. Step 4: Simplify right side
    6,846.04x = 47,727,798.78
  5. Step 5: Solve for x
    x = 47,727,798.78/6,846.04
  6. Step 6: Final answer
    x = 6,971.60

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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.