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Finding the Fourth Proportional to 6,287.09, 9,430.64 and 1,607.11

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Solution

The fourth proportional to 6,287.09, 9,430.64 and 1,607.11 is: 2,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.09 : 9,430.64 = 1,607.11 : x
  2. Step 2: Convert to fraction form
    6,287.09/9,430.64 = 1,607.11/x
  3. Step 3: Cross multiply
    6,287.09x = 9,430.64 × 1,607.11
  4. Step 4: Simplify right side
    6,287.09x = 15,156,045.74
  5. Step 5: Solve for x
    x = 15,156,045.74/6,287.09
  6. Step 6: Final answer
    x = 2,410.66

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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.