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Finding the Fourth Proportional to 6,389.10, 9,585.24 and 5,077.80

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Solution

The fourth proportional to 6,389.10, 9,585.24 and 5,077.80 is: 7,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.10 : 9,585.24 = 5,077.80 : x
  2. Step 2: Convert to fraction form
    6,389.10/9,585.24 = 5,077.80/x
  3. Step 3: Cross multiply
    6,389.10x = 9,585.24 × 5,077.80
  4. Step 4: Simplify right side
    6,389.10x = 48,671,931.67
  5. Step 5: Solve for x
    x = 48,671,931.67/6,389.10
  6. Step 6: Final answer
    x = 7,617.96

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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.