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Finding the Fourth Proportional to 7,136.88, 9,847.32 and 5,460.18

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Solution

The fourth proportional to 7,136.88, 9,847.32 and 5,460.18 is: 7,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.88 : 9,847.32 = 5,460.18 : x
  2. Step 2: Convert to fraction form
    7,136.88/9,847.32 = 5,460.18/x
  3. Step 3: Cross multiply
    7,136.88x = 9,847.32 × 5,460.18
  4. Step 4: Simplify right side
    7,136.88x = 53,768,139.72
  5. Step 5: Solve for x
    x = 53,768,139.72/7,136.88
  6. Step 6: Final answer
    x = 7,533.84

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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.