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Finding the Fourth Proportional to 9,674.03, 13,263.21 and 9,499.07

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Solution

The fourth proportional to 9,674.03, 13,263.21 and 9,499.07 is: 13,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.03 : 13,263.21 = 9,499.07 : x
  2. Step 2: Convert to fraction form
    9,674.03/13,263.21 = 9,499.07/x
  3. Step 3: Cross multiply
    9,674.03x = 13,263.21 × 9,499.07
  4. Step 4: Simplify right side
    9,674.03x = 125,988,160.21
  5. Step 5: Solve for x
    x = 125,988,160.21/9,674.03
  6. Step 6: Final answer
    x = 13,023.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.