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Finding the Fourth Proportional to 7,056.04, 9,735.78 and 5,289.16

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Solution

The fourth proportional to 7,056.04, 9,735.78 and 5,289.16 is: 7,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.04 : 9,735.78 = 5,289.16 : x
  2. Step 2: Convert to fraction form
    7,056.04/9,735.78 = 5,289.16/x
  3. Step 3: Cross multiply
    7,056.04x = 9,735.78 × 5,289.16
  4. Step 4: Simplify right side
    7,056.04x = 51,494,098.14
  5. Step 5: Solve for x
    x = 51,494,098.14/7,056.04
  6. Step 6: Final answer
    x = 7,297.88

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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.