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Finding the Fourth Proportional to 9,898.81, 13,660.36 and 5,422.72

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Solution

The fourth proportional to 9,898.81, 13,660.36 and 5,422.72 is: 7,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.81 : 13,660.36 = 5,422.72 : x
  2. Step 2: Convert to fraction form
    9,898.81/13,660.36 = 5,422.72/x
  3. Step 3: Cross multiply
    9,898.81x = 13,660.36 × 5,422.72
  4. Step 4: Simplify right side
    9,898.81x = 74,076,341.53
  5. Step 5: Solve for x
    x = 74,076,341.53/9,898.81
  6. Step 6: Final answer
    x = 7,483.36

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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.