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Finding the Fourth Proportional to 9,428.76, 13,008.75 and 5,448.42

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Solution

The fourth proportional to 9,428.76, 13,008.75 and 5,448.42 is: 7,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.76 : 13,008.75 = 5,448.42 : x
  2. Step 2: Convert to fraction form
    9,428.76/13,008.75 = 5,448.42/x
  3. Step 3: Cross multiply
    9,428.76x = 13,008.75 × 5,448.42
  4. Step 4: Simplify right side
    9,428.76x = 70,877,133.68
  5. Step 5: Solve for x
    x = 70,877,133.68/9,428.76
  6. Step 6: Final answer
    x = 7,517.12

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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.