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Finding the Fourth Proportional to 6,047.41, 9,047.65 and 5,301.41

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Solution

The fourth proportional to 6,047.41, 9,047.65 and 5,301.41 is: 7,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.41 : 9,047.65 = 5,301.41 : x
  2. Step 2: Convert to fraction form
    6,047.41/9,047.65 = 5,301.41/x
  3. Step 3: Cross multiply
    6,047.41x = 9,047.65 × 5,301.41
  4. Step 4: Simplify right side
    6,047.41x = 47,965,302.19
  5. Step 5: Solve for x
    x = 47,965,302.19/6,047.41
  6. Step 6: Final answer
    x = 7,931.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.