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Finding the Fourth Proportional to 6,332.63, 9,498.96 and 1,715.63

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Solution

The fourth proportional to 6,332.63, 9,498.96 and 1,715.63 is: 2,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.63 : 9,498.96 = 1,715.63 : x
  2. Step 2: Convert to fraction form
    6,332.63/9,498.96 = 1,715.63/x
  3. Step 3: Cross multiply
    6,332.63x = 9,498.96 × 1,715.63
  4. Step 4: Simplify right side
    6,332.63x = 16,296,653.25
  5. Step 5: Solve for x
    x = 16,296,653.25/6,332.63
  6. Step 6: Final answer
    x = 2,573.44

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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.