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Finding the Fourth Proportional to 6,102.30, 9,153.45 and 5,762.10

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Solution

The fourth proportional to 6,102.30, 9,153.45 and 5,762.10 is: 8,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.30 : 9,153.45 = 5,762.10 : x
  2. Step 2: Convert to fraction form
    6,102.30/9,153.45 = 5,762.10/x
  3. Step 3: Cross multiply
    6,102.30x = 9,153.45 × 5,762.10
  4. Step 4: Simplify right side
    6,102.30x = 52,743,094.25
  5. Step 5: Solve for x
    x = 52,743,094.25/6,102.30
  6. Step 6: Final answer
    x = 8,643.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.