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Finding the Fourth Proportional to 6,308.32, 9,462.45 and 1,925.76

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Solution

The fourth proportional to 6,308.32, 9,462.45 and 1,925.76 is: 2,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.32 : 9,462.45 = 1,925.76 : x
  2. Step 2: Convert to fraction form
    6,308.32/9,462.45 = 1,925.76/x
  3. Step 3: Cross multiply
    6,308.32x = 9,462.45 × 1,925.76
  4. Step 4: Simplify right side
    6,308.32x = 18,222,407.71
  5. Step 5: Solve for x
    x = 18,222,407.71/6,308.32
  6. Step 6: Final answer
    x = 2,888.63

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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.