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Finding the Fourth Proportional to 9,876.95, 13,629.88 and 5,400.59

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Solution

The fourth proportional to 9,876.95, 13,629.88 and 5,400.59 is: 7,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.95 : 13,629.88 = 5,400.59 : x
  2. Step 2: Convert to fraction form
    9,876.95/13,629.88 = 5,400.59/x
  3. Step 3: Cross multiply
    9,876.95x = 13,629.88 × 5,400.59
  4. Step 4: Simplify right side
    9,876.95x = 73,609,332.23
  5. Step 5: Solve for x
    x = 73,609,332.23/9,876.95
  6. Step 6: Final answer
    x = 7,452.64

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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.