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Finding the Fourth Proportional to 9,035.72, 13,561.68 and 7,564.16

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Solution

The fourth proportional to 9,035.72, 13,561.68 and 7,564.16 is: 11,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.72 : 13,561.68 = 7,564.16 : x
  2. Step 2: Convert to fraction form
    9,035.72/13,561.68 = 7,564.16/x
  3. Step 3: Cross multiply
    9,035.72x = 13,561.68 × 7,564.16
  4. Step 4: Simplify right side
    9,035.72x = 102,582,677.95
  5. Step 5: Solve for x
    x = 102,582,677.95/9,035.72
  6. Step 6: Final answer
    x = 11,353.01

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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.