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Finding the Fourth Proportional to 9,356.64, 14,039.28 and 3,513.12

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Solution

The fourth proportional to 9,356.64, 14,039.28 and 3,513.12 is: 5,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.64 : 14,039.28 = 3,513.12 : x
  2. Step 2: Convert to fraction form
    9,356.64/14,039.28 = 3,513.12/x
  3. Step 3: Cross multiply
    9,356.64x = 14,039.28 × 3,513.12
  4. Step 4: Simplify right side
    9,356.64x = 49,321,675.35
  5. Step 5: Solve for x
    x = 49,321,675.35/9,356.64
  6. Step 6: Final answer
    x = 5,271.30

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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.