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Finding the Fourth Proportional to 9,070.26, 13,597.17 and 3,225.50

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Solution

The fourth proportional to 9,070.26, 13,597.17 and 3,225.50 is: 4,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070.26 : 13,597.17 = 3,225.50 : x
  2. Step 2: Convert to fraction form
    9,070.26/13,597.17 = 3,225.50/x
  3. Step 3: Cross multiply
    9,070.26x = 13,597.17 × 3,225.50
  4. Step 4: Simplify right side
    9,070.26x = 43,857,587.72
  5. Step 5: Solve for x
    x = 43,857,587.72/9,070.26
  6. Step 6: Final answer
    x = 4,835.32

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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.