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Finding the Fourth Proportional to 9,941.83, 13,720.05 and 5,465.92

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Solution

The fourth proportional to 9,941.83, 13,720.05 and 5,465.92 is: 7,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.83 : 13,720.05 = 5,465.92 : x
  2. Step 2: Convert to fraction form
    9,941.83/13,720.05 = 5,465.92/x
  3. Step 3: Cross multiply
    9,941.83x = 13,720.05 × 5,465.92
  4. Step 4: Simplify right side
    9,941.83x = 74,992,695.70
  5. Step 5: Solve for x
    x = 74,992,695.70/9,941.83
  6. Step 6: Final answer
    x = 7,543.15

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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.