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Finding the Fourth Proportional to 9,023.09, 13,534.63 and 4,402.13

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Solution

The fourth proportional to 9,023.09, 13,534.63 and 4,402.13 is: 6,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.09 : 13,534.63 = 4,402.13 : x
  2. Step 2: Convert to fraction form
    9,023.09/13,534.63 = 4,402.13/x
  3. Step 3: Cross multiply
    9,023.09x = 13,534.63 × 4,402.13
  4. Step 4: Simplify right side
    9,023.09x = 59,581,122.08
  5. Step 5: Solve for x
    x = 59,581,122.08/9,023.09
  6. Step 6: Final answer
    x = 6,603.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.