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Finding the Fourth Proportional to 9,649.24, 13,317.42 and 7,008.64

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Solution

The fourth proportional to 9,649.24, 13,317.42 and 7,008.64 is: 9,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.24 : 13,317.42 = 7,008.64 : x
  2. Step 2: Convert to fraction form
    9,649.24/13,317.42 = 7,008.64/x
  3. Step 3: Cross multiply
    9,649.24x = 13,317.42 × 7,008.64
  4. Step 4: Simplify right side
    9,649.24x = 93,337,002.51
  5. Step 5: Solve for x
    x = 93,337,002.51/9,649.24
  6. Step 6: Final answer
    x = 9,672.99

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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.