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Finding the Fourth Proportional to 9,961.66, 13,746.98 and 5,485.30

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Solution

The fourth proportional to 9,961.66, 13,746.98 and 5,485.30 is: 7,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.66 : 13,746.98 = 5,485.30 : x
  2. Step 2: Convert to fraction form
    9,961.66/13,746.98 = 5,485.30/x
  3. Step 3: Cross multiply
    9,961.66x = 13,746.98 × 5,485.30
  4. Step 4: Simplify right side
    9,961.66x = 75,406,309.39
  5. Step 5: Solve for x
    x = 75,406,309.39/9,961.66
  6. Step 6: Final answer
    x = 7,569.65

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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.