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Finding the Fourth Proportional to 6,308.74, 9,464.03 and 1,925.63

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Solution

The fourth proportional to 6,308.74, 9,464.03 and 1,925.63 is: 2,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.74 : 9,464.03 = 1,925.63 : x
  2. Step 2: Convert to fraction form
    6,308.74/9,464.03 = 1,925.63/x
  3. Step 3: Cross multiply
    6,308.74x = 9,464.03 × 1,925.63
  4. Step 4: Simplify right side
    6,308.74x = 18,224,220.09
  5. Step 5: Solve for x
    x = 18,224,220.09/6,308.74
  6. Step 6: Final answer
    x = 2,888.73

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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.