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Finding the Fourth Proportional to 6,293.64, 9,432.39 and 2,598.46

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Solution

The fourth proportional to 6,293.64, 9,432.39 and 2,598.46 is: 3,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.64 : 9,432.39 = 2,598.46 : x
  2. Step 2: Convert to fraction form
    6,293.64/9,432.39 = 2,598.46/x
  3. Step 3: Cross multiply
    6,293.64x = 9,432.39 × 2,598.46
  4. Step 4: Simplify right side
    6,293.64x = 24,509,688.12
  5. Step 5: Solve for x
    x = 24,509,688.12/6,293.64
  6. Step 6: Final answer
    x = 3,894.36

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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.