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Finding the Fourth Proportional to 6,307.47, 9,462.02 and 1,924.16

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Solution

The fourth proportional to 6,307.47, 9,462.02 and 1,924.16 is: 2,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.47 : 9,462.02 = 1,924.16 : x
  2. Step 2: Convert to fraction form
    6,307.47/9,462.02 = 1,924.16/x
  3. Step 3: Cross multiply
    6,307.47x = 9,462.02 × 1,924.16
  4. Step 4: Simplify right side
    6,307.47x = 18,206,383.47
  5. Step 5: Solve for x
    x = 18,206,383.47/6,307.47
  6. Step 6: Final answer
    x = 2,886.48

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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.