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Finding the Fourth Proportional to 9,412.77, 14,125.64 and 3,569.43

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Solution

The fourth proportional to 9,412.77, 14,125.64 and 3,569.43 is: 5,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.77 : 14,125.64 = 3,569.43 : x
  2. Step 2: Convert to fraction form
    9,412.77/14,125.64 = 3,569.43/x
  3. Step 3: Cross multiply
    9,412.77x = 14,125.64 × 3,569.43
  4. Step 4: Simplify right side
    9,412.77x = 50,420,465.34
  5. Step 5: Solve for x
    x = 50,420,465.34/9,412.77
  6. Step 6: Final answer
    x = 5,356.60

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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.