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Finding the Fourth Proportional to 6,012.54, 9,005.63 and 4,960.68

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Solution

The fourth proportional to 6,012.54, 9,005.63 and 4,960.68 is: 7,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.54 : 9,005.63 = 4,960.68 : x
  2. Step 2: Convert to fraction form
    6,012.54/9,005.63 = 4,960.68/x
  3. Step 3: Cross multiply
    6,012.54x = 9,005.63 × 4,960.68
  4. Step 4: Simplify right side
    6,012.54x = 44,674,023.83
  5. Step 5: Solve for x
    x = 44,674,023.83/6,012.54
  6. Step 6: Final answer
    x = 7,430.14

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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.