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Finding the Fourth Proportional to 9,307.34, 12,843.04 and 5,328.22

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Solution

The fourth proportional to 9,307.34, 12,843.04 and 5,328.22 is: 7,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.34 : 12,843.04 = 5,328.22 : x
  2. Step 2: Convert to fraction form
    9,307.34/12,843.04 = 5,328.22/x
  3. Step 3: Cross multiply
    9,307.34x = 12,843.04 × 5,328.22
  4. Step 4: Simplify right side
    9,307.34x = 68,430,542.59
  5. Step 5: Solve for x
    x = 68,430,542.59/9,307.34
  6. Step 6: Final answer
    x = 7,352.32

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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.