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Finding the Fourth Proportional to 9,502, 13,113.04 and 5,310.26

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Solution

The fourth proportional to 9,502, 13,113.04 and 5,310.26 is: 7,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502 : 13,113.04 = 5,310.26 : x
  2. Step 2: Convert to fraction form
    9,502/13,113.04 = 5,310.26/x
  3. Step 3: Cross multiply
    9,502x = 13,113.04 × 5,310.26
  4. Step 4: Simplify right side
    9,502x = 69,633,651.79
  5. Step 5: Solve for x
    x = 69,633,651.79/9,502
  6. Step 6: Final answer
    x = 7,328.32

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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.