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Finding the Fourth Proportional to 9,931.26, 13,705.47 and 5,739.51

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Solution

The fourth proportional to 9,931.26, 13,705.47 and 5,739.51 is: 7,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.26 : 13,705.47 = 5,739.51 : x
  2. Step 2: Convert to fraction form
    9,931.26/13,705.47 = 5,739.51/x
  3. Step 3: Cross multiply
    9,931.26x = 13,705.47 × 5,739.51
  4. Step 4: Simplify right side
    9,931.26x = 78,662,682.12
  5. Step 5: Solve for x
    x = 78,662,682.12/9,931.26
  6. Step 6: Final answer
    x = 7,920.72

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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.