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Finding the Fourth Proportional to 9,428.84, 13,014.13 and 5,452.25

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Solution

The fourth proportional to 9,428.84, 13,014.13 and 5,452.25 is: 7,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.84 : 13,014.13 = 5,452.25 : x
  2. Step 2: Convert to fraction form
    9,428.84/13,014.13 = 5,452.25/x
  3. Step 3: Cross multiply
    9,428.84x = 13,014.13 × 5,452.25
  4. Step 4: Simplify right side
    9,428.84x = 70,956,290.29
  5. Step 5: Solve for x
    x = 70,956,290.29/9,428.84
  6. Step 6: Final answer
    x = 7,525.46

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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.