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Finding the Fourth Proportional to 6,386.49, 9,573.26 and 4,045.77

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Solution

The fourth proportional to 6,386.49, 9,573.26 and 4,045.77 is: 6,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.49 : 9,573.26 = 4,045.77 : x
  2. Step 2: Convert to fraction form
    6,386.49/9,573.26 = 4,045.77/x
  3. Step 3: Cross multiply
    6,386.49x = 9,573.26 × 4,045.77
  4. Step 4: Simplify right side
    6,386.49x = 38,731,187.88
  5. Step 5: Solve for x
    x = 38,731,187.88/6,386.49
  6. Step 6: Final answer
    x = 6,064.55

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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.