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Finding the Fourth Proportional to 6,307.49, 9,460.87 and 1,924.61

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Solution

The fourth proportional to 6,307.49, 9,460.87 and 1,924.61 is: 2,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.49 : 9,460.87 = 1,924.61 : x
  2. Step 2: Convert to fraction form
    6,307.49/9,460.87 = 1,924.61/x
  3. Step 3: Cross multiply
    6,307.49x = 9,460.87 × 1,924.61
  4. Step 4: Simplify right side
    6,307.49x = 18,208,432.89
  5. Step 5: Solve for x
    x = 18,208,432.89/6,307.49
  6. Step 6: Final answer
    x = 2,886.79

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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.