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Finding the Fourth Proportional to 9,424.69, 13,008.78 and 7,549.34

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Solution

The fourth proportional to 9,424.69, 13,008.78 and 7,549.34 is: 10,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.69 : 13,008.78 = 7,549.34 : x
  2. Step 2: Convert to fraction form
    9,424.69/13,008.78 = 7,549.34/x
  3. Step 3: Cross multiply
    9,424.69x = 13,008.78 × 7,549.34
  4. Step 4: Simplify right side
    9,424.69x = 98,207,638.16
  5. Step 5: Solve for x
    x = 98,207,638.16/9,424.69
  6. Step 6: Final answer
    x = 10,420.25

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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.