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Finding the Fourth Proportional to 9,356.02, 14,036.74 and 3,513.08

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Solution

The fourth proportional to 9,356.02, 14,036.74 and 3,513.08 is: 5,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.02 : 14,036.74 = 3,513.08 : x
  2. Step 2: Convert to fraction form
    9,356.02/14,036.74 = 3,513.08/x
  3. Step 3: Cross multiply
    9,356.02x = 14,036.74 × 3,513.08
  4. Step 4: Simplify right side
    9,356.02x = 49,312,216.87
  5. Step 5: Solve for x
    x = 49,312,216.87/9,356.02
  6. Step 6: Final answer
    x = 5,270.64

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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.