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Finding the Fourth Proportional to 6,397.37, 9,587.85 and 3,064.93

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Solution

The fourth proportional to 6,397.37, 9,587.85 and 3,064.93 is: 4,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.37 : 9,587.85 = 3,064.93 : x
  2. Step 2: Convert to fraction form
    6,397.37/9,587.85 = 3,064.93/x
  3. Step 3: Cross multiply
    6,397.37x = 9,587.85 × 3,064.93
  4. Step 4: Simplify right side
    6,397.37x = 29,386,089.10
  5. Step 5: Solve for x
    x = 29,386,089.10/6,397.37
  6. Step 6: Final answer
    x = 4,593.46

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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.