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Finding the Fourth Proportional to 9,203.85, 12,701.37 and 5,225.03

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Solution

The fourth proportional to 9,203.85, 12,701.37 and 5,225.03 is: 7,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.85 : 12,701.37 = 5,225.03 : x
  2. Step 2: Convert to fraction form
    9,203.85/12,701.37 = 5,225.03/x
  3. Step 3: Cross multiply
    9,203.85x = 12,701.37 × 5,225.03
  4. Step 4: Simplify right side
    9,203.85x = 66,365,043.01
  5. Step 5: Solve for x
    x = 66,365,043.01/9,203.85
  6. Step 6: Final answer
    x = 7,210.57

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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.