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Finding the Fourth Proportional to 10,716.48, 14,797.44 and 9,406.08

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Solution

The fourth proportional to 10,716.48, 14,797.44 and 9,406.08 is: 12,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.48 : 14,797.44 = 9,406.08 : x
  2. Step 2: Convert to fraction form
    10,716.48/14,797.44 = 9,406.08/x
  3. Step 3: Cross multiply
    10,716.48x = 14,797.44 × 9,406.08
  4. Step 4: Simplify right side
    10,716.48x = 139,185,904.44
  5. Step 5: Solve for x
    x = 139,185,904.44/10,716.48
  6. Step 6: Final answer
    x = 12,988.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.