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Finding the Fourth Proportional to 9,629.08, 13,275.28 and 7,646.20

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Solution

The fourth proportional to 9,629.08, 13,275.28 and 7,646.20 is: 10,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.08 : 13,275.28 = 7,646.20 : x
  2. Step 2: Convert to fraction form
    9,629.08/13,275.28 = 7,646.20/x
  3. Step 3: Cross multiply
    9,629.08x = 13,275.28 × 7,646.20
  4. Step 4: Simplify right side
    9,629.08x = 101,505,445.94
  5. Step 5: Solve for x
    x = 101,505,445.94/9,629.08
  6. Step 6: Final answer
    x = 10,541.55

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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.