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Finding the Fourth Proportional to 7,015.35, 9,681.24 and 3,828.67

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Solution

The fourth proportional to 7,015.35, 9,681.24 and 3,828.67 is: 5,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.35 : 9,681.24 = 3,828.67 : x
  2. Step 2: Convert to fraction form
    7,015.35/9,681.24 = 3,828.67/x
  3. Step 3: Cross multiply
    7,015.35x = 9,681.24 × 3,828.67
  4. Step 4: Simplify right side
    7,015.35x = 37,066,270.89
  5. Step 5: Solve for x
    x = 37,066,270.89/7,015.35
  6. Step 6: Final answer
    x = 5,283.60

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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.