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Finding the Fourth Proportional to 9,898.96, 13,660.32 and 5,422.72

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Solution

The fourth proportional to 9,898.96, 13,660.32 and 5,422.72 is: 7,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.96 : 13,660.32 = 5,422.72 : x
  2. Step 2: Convert to fraction form
    9,898.96/13,660.32 = 5,422.72/x
  3. Step 3: Cross multiply
    9,898.96x = 13,660.32 × 5,422.72
  4. Step 4: Simplify right side
    9,898.96x = 74,076,090.47
  5. Step 5: Solve for x
    x = 74,076,090.47/9,898.96
  6. Step 6: Final answer
    x = 7,483.22

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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.