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Finding the Fourth Proportional to 9,933.57, 13,707.51 and 5,457.22

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Solution

The fourth proportional to 9,933.57, 13,707.51 and 5,457.22 is: 7,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.57 : 13,707.51 = 5,457.22 : x
  2. Step 2: Convert to fraction form
    9,933.57/13,707.51 = 5,457.22/x
  3. Step 3: Cross multiply
    9,933.57x = 13,707.51 × 5,457.22
  4. Step 4: Simplify right side
    9,933.57x = 74,804,897.72
  5. Step 5: Solve for x
    x = 74,804,897.72/9,933.57
  6. Step 6: Final answer
    x = 7,530.51

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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.