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Finding the Fourth Proportional to 9,564.84, 14,341.32 and 3,720.12

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Solution

The fourth proportional to 9,564.84, 14,341.32 and 3,720.12 is: 5,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.84 : 14,341.32 = 3,720.12 : x
  2. Step 2: Convert to fraction form
    9,564.84/14,341.32 = 3,720.12/x
  3. Step 3: Cross multiply
    9,564.84x = 14,341.32 × 3,720.12
  4. Step 4: Simplify right side
    9,564.84x = 53,351,431.36
  5. Step 5: Solve for x
    x = 53,351,431.36/9,564.84
  6. Step 6: Final answer
    x = 5,577.87

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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.