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Finding the Fourth Proportional to 9,438.84, 13,028.32 and 7,563.51

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Solution

The fourth proportional to 9,438.84, 13,028.32 and 7,563.51 is: 10,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.84 : 13,028.32 = 7,563.51 : x
  2. Step 2: Convert to fraction form
    9,438.84/13,028.32 = 7,563.51/x
  3. Step 3: Cross multiply
    9,438.84x = 13,028.32 × 7,563.51
  4. Step 4: Simplify right side
    9,438.84x = 98,539,828.60
  5. Step 5: Solve for x
    x = 98,539,828.60/9,438.84
  6. Step 6: Final answer
    x = 10,439.82

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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.