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Finding the Fourth Proportional to 9,452.36, 13,030.74 and 6,649.16

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Solution

The fourth proportional to 9,452.36, 13,030.74 and 6,649.16 is: 9,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.36 : 13,030.74 = 6,649.16 : x
  2. Step 2: Convert to fraction form
    9,452.36/13,030.74 = 6,649.16/x
  3. Step 3: Cross multiply
    9,452.36x = 13,030.74 × 6,649.16
  4. Step 4: Simplify right side
    9,452.36x = 86,643,475.18
  5. Step 5: Solve for x
    x = 86,643,475.18/9,452.36
  6. Step 6: Final answer
    x = 9,166.33

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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.