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Finding the Fourth Proportional to 9,878.26, 13,632.21 and 5,898.63

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Solution

The fourth proportional to 9,878.26, 13,632.21 and 5,898.63 is: 8,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.26 : 13,632.21 = 5,898.63 : x
  2. Step 2: Convert to fraction form
    9,878.26/13,632.21 = 5,898.63/x
  3. Step 3: Cross multiply
    9,878.26x = 13,632.21 × 5,898.63
  4. Step 4: Simplify right side
    9,878.26x = 80,411,362.87
  5. Step 5: Solve for x
    x = 80,411,362.87/9,878.26
  6. Step 6: Final answer
    x = 8,140.24

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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.