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Finding the Fourth Proportional to 9,898.59, 13,660.22 and 5,422.77

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Solution

The fourth proportional to 9,898.59, 13,660.22 and 5,422.77 is: 7,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.59 : 13,660.22 = 5,422.77 : x
  2. Step 2: Convert to fraction form
    9,898.59/13,660.22 = 5,422.77/x
  3. Step 3: Cross multiply
    9,898.59x = 13,660.22 × 5,422.77
  4. Step 4: Simplify right side
    9,898.59x = 74,076,204.10
  5. Step 5: Solve for x
    x = 74,076,204.10/9,898.59
  6. Step 6: Final answer
    x = 7,483.51

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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.