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Finding the Fourth Proportional to 9,356.32, 14,035.10 and 3,116.08

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Solution

The fourth proportional to 9,356.32, 14,035.10 and 3,116.08 is: 4,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.32 : 14,035.10 = 3,116.08 : x
  2. Step 2: Convert to fraction form
    9,356.32/14,035.10 = 3,116.08/x
  3. Step 3: Cross multiply
    9,356.32x = 14,035.10 × 3,116.08
  4. Step 4: Simplify right side
    9,356.32x = 43,734,494.41
  5. Step 5: Solve for x
    x = 43,734,494.41/9,356.32
  6. Step 6: Final answer
    x = 4,674.33

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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.