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Finding the Fourth Proportional to 6,307.98, 9,463.36 and 1,925.78

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Solution

The fourth proportional to 6,307.98, 9,463.36 and 1,925.78 is: 2,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.98 : 9,463.36 = 1,925.78 : x
  2. Step 2: Convert to fraction form
    6,307.98/9,463.36 = 1,925.78/x
  3. Step 3: Cross multiply
    6,307.98x = 9,463.36 × 1,925.78
  4. Step 4: Simplify right side
    6,307.98x = 18,224,349.42
  5. Step 5: Solve for x
    x = 18,224,349.42/6,307.98
  6. Step 6: Final answer
    x = 2,889.09

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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.