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Finding the Fourth Proportional to 9,806.64, 13,534.02 and 5,558.46

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Solution

The fourth proportional to 9,806.64, 13,534.02 and 5,558.46 is: 7,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.64 : 13,534.02 = 5,558.46 : x
  2. Step 2: Convert to fraction form
    9,806.64/13,534.02 = 5,558.46/x
  3. Step 3: Cross multiply
    9,806.64x = 13,534.02 × 5,558.46
  4. Step 4: Simplify right side
    9,806.64x = 75,228,308.81
  5. Step 5: Solve for x
    x = 75,228,308.81/9,806.64
  6. Step 6: Final answer
    x = 7,671.16

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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.