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Finding the Fourth Proportional to 6,384.86, 9,599.16 and 5,903.72

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Solution

The fourth proportional to 6,384.86, 9,599.16 and 5,903.72 is: 8,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.86 : 9,599.16 = 5,903.72 : x
  2. Step 2: Convert to fraction form
    6,384.86/9,599.16 = 5,903.72/x
  3. Step 3: Cross multiply
    6,384.86x = 9,599.16 × 5,903.72
  4. Step 4: Simplify right side
    6,384.86x = 56,670,704.88
  5. Step 5: Solve for x
    x = 56,670,704.88/6,384.86
  6. Step 6: Final answer
    x = 8,875.80

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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.