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Finding the Fourth Proportional to 6,507.61, 9,762.01 and 2,125.09

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Solution

The fourth proportional to 6,507.61, 9,762.01 and 2,125.09 is: 3,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.61 : 9,762.01 = 2,125.09 : x
  2. Step 2: Convert to fraction form
    6,507.61/9,762.01 = 2,125.09/x
  3. Step 3: Cross multiply
    6,507.61x = 9,762.01 × 2,125.09
  4. Step 4: Simplify right side
    6,507.61x = 20,745,095.71
  5. Step 5: Solve for x
    x = 20,745,095.71/6,507.61
  6. Step 6: Final answer
    x = 3,187.82

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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.