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Finding the Fourth Proportional to 9,352.66, 12,911.35 and 5,817.01

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Solution

The fourth proportional to 9,352.66, 12,911.35 and 5,817.01 is: 8,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.66 : 12,911.35 = 5,817.01 : x
  2. Step 2: Convert to fraction form
    9,352.66/12,911.35 = 5,817.01/x
  3. Step 3: Cross multiply
    9,352.66x = 12,911.35 × 5,817.01
  4. Step 4: Simplify right side
    9,352.66x = 75,105,422.98
  5. Step 5: Solve for x
    x = 75,105,422.98/9,352.66
  6. Step 6: Final answer
    x = 8,030.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.