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Finding the Fourth Proportional to 9,878.40, 13,632.50 and 5,402.27

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Solution

The fourth proportional to 9,878.40, 13,632.50 and 5,402.27 is: 7,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.40 : 13,632.50 = 5,402.27 : x
  2. Step 2: Convert to fraction form
    9,878.40/13,632.50 = 5,402.27/x
  3. Step 3: Cross multiply
    9,878.40x = 13,632.50 × 5,402.27
  4. Step 4: Simplify right side
    9,878.40x = 73,646,493.36
  5. Step 5: Solve for x
    x = 73,646,493.36/9,878.40
  6. Step 6: Final answer
    x = 7,455.31

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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.