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Finding the Fourth Proportional to 9,933.64, 13,708.24 and 5,457.17

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Solution

The fourth proportional to 9,933.64, 13,708.24 and 5,457.17 is: 7,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.64 : 13,708.24 = 5,457.17 : x
  2. Step 2: Convert to fraction form
    9,933.64/13,708.24 = 5,457.17/x
  3. Step 3: Cross multiply
    9,933.64x = 13,708.24 × 5,457.17
  4. Step 4: Simplify right side
    9,933.64x = 74,808,216.71
  5. Step 5: Solve for x
    x = 74,808,216.71/9,933.64
  6. Step 6: Final answer
    x = 7,530.80

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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.