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Finding the Fourth Proportional to 9,417.25, 12,996.21 and 5,225.50

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Solution

The fourth proportional to 9,417.25, 12,996.21 and 5,225.50 is: 7,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.25 : 12,996.21 = 5,225.50 : x
  2. Step 2: Convert to fraction form
    9,417.25/12,996.21 = 5,225.50/x
  3. Step 3: Cross multiply
    9,417.25x = 12,996.21 × 5,225.50
  4. Step 4: Simplify right side
    9,417.25x = 67,911,695.36
  5. Step 5: Solve for x
    x = 67,911,695.36/9,417.25
  6. Step 6: Final answer
    x = 7,211.41

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