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Finding the Fourth Proportional to 9,876.40, 13,629.65 and 5,400.34

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Solution

The fourth proportional to 9,876.40, 13,629.65 and 5,400.34 is: 7,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.40 : 13,629.65 = 5,400.34 : x
  2. Step 2: Convert to fraction form
    9,876.40/13,629.65 = 5,400.34/x
  3. Step 3: Cross multiply
    9,876.40x = 13,629.65 × 5,400.34
  4. Step 4: Simplify right side
    9,876.40x = 73,604,683.01
  5. Step 5: Solve for x
    x = 73,604,683.01/9,876.40
  6. Step 6: Final answer
    x = 7,452.58

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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.