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Finding the Fourth Proportional to 9,203.22, 12,700.76 and 5,224.50

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Solution

The fourth proportional to 9,203.22, 12,700.76 and 5,224.50 is: 7,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.22 : 12,700.76 = 5,224.50 : x
  2. Step 2: Convert to fraction form
    9,203.22/12,700.76 = 5,224.50/x
  3. Step 3: Cross multiply
    9,203.22x = 12,700.76 × 5,224.50
  4. Step 4: Simplify right side
    9,203.22x = 66,355,094.50
  5. Step 5: Solve for x
    x = 66,355,094.50/9,203.22
  6. Step 6: Final answer
    x = 7,209.99

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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.