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Finding the Fourth Proportional to 9,723.11, 13,417.92 and 5,746.21

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Solution

The fourth proportional to 9,723.11, 13,417.92 and 5,746.21 is: 7,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.11 : 13,417.92 = 5,746.21 : x
  2. Step 2: Convert to fraction form
    9,723.11/13,417.92 = 5,746.21/x
  3. Step 3: Cross multiply
    9,723.11x = 13,417.92 × 5,746.21
  4. Step 4: Simplify right side
    9,723.11x = 77,102,152.54
  5. Step 5: Solve for x
    x = 77,102,152.54/9,723.11
  6. Step 6: Final answer
    x = 7,929.79

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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.