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Finding the Fourth Proportional to 6,389.85, 9,585.10 and 2,007.35

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Solution

The fourth proportional to 6,389.85, 9,585.10 and 2,007.35 is: 3,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.85 : 9,585.10 = 2,007.35 : x
  2. Step 2: Convert to fraction form
    6,389.85/9,585.10 = 2,007.35/x
  3. Step 3: Cross multiply
    6,389.85x = 9,585.10 × 2,007.35
  4. Step 4: Simplify right side
    6,389.85x = 19,240,650.49
  5. Step 5: Solve for x
    x = 19,240,650.49/6,389.85
  6. Step 6: Final answer
    x = 3,011.13

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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.