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Finding the Fourth Proportional to 6,507.30, 9,762.38 and 3,584.10

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Solution

The fourth proportional to 6,507.30, 9,762.38 and 3,584.10 is: 5,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.30 : 9,762.38 = 3,584.10 : x
  2. Step 2: Convert to fraction form
    6,507.30/9,762.38 = 3,584.10/x
  3. Step 3: Cross multiply
    6,507.30x = 9,762.38 × 3,584.10
  4. Step 4: Simplify right side
    6,507.30x = 34,989,346.16
  5. Step 5: Solve for x
    x = 34,989,346.16/6,507.30
  6. Step 6: Final answer
    x = 5,376.94

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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.