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Finding the Fourth Proportional to 6,292.92, 9,437.76 and 2,596.20

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Solution

The fourth proportional to 6,292.92, 9,437.76 and 2,596.20 is: 3,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.92 : 9,437.76 = 2,596.20 : x
  2. Step 2: Convert to fraction form
    6,292.92/9,437.76 = 2,596.20/x
  3. Step 3: Cross multiply
    6,292.92x = 9,437.76 × 2,596.20
  4. Step 4: Simplify right side
    6,292.92x = 24,502,312.51
  5. Step 5: Solve for x
    x = 24,502,312.51/6,292.92
  6. Step 6: Final answer
    x = 3,893.63

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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.