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Finding the Fourth Proportional to 6,509.99, 8,981.66 and 4,152.89

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Solution

The fourth proportional to 6,509.99, 8,981.66 and 4,152.89 is: 5,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.99 : 8,981.66 = 4,152.89 : x
  2. Step 2: Convert to fraction form
    6,509.99/8,981.66 = 4,152.89/x
  3. Step 3: Cross multiply
    6,509.99x = 8,981.66 × 4,152.89
  4. Step 4: Simplify right side
    6,509.99x = 37,299,780.32
  5. Step 5: Solve for x
    x = 37,299,780.32/6,509.99
  6. Step 6: Final answer
    x = 5,729.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.