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Finding the Fourth Proportional to 9,742.65, 13,446.60 and 5,495.01

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Solution

The fourth proportional to 9,742.65, 13,446.60 and 5,495.01 is: 7,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.65 : 13,446.60 = 5,495.01 : x
  2. Step 2: Convert to fraction form
    9,742.65/13,446.60 = 5,495.01/x
  3. Step 3: Cross multiply
    9,742.65x = 13,446.60 × 5,495.01
  4. Step 4: Simplify right side
    9,742.65x = 73,889,201.47
  5. Step 5: Solve for x
    x = 73,889,201.47/9,742.65
  6. Step 6: Final answer
    x = 7,584.10

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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.