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Finding the Fourth Proportional to 6,376.95, 9,564.21 and 3,088.55

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Solution

The fourth proportional to 6,376.95, 9,564.21 and 3,088.55 is: 4,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.95 : 9,564.21 = 3,088.55 : x
  2. Step 2: Convert to fraction form
    6,376.95/9,564.21 = 3,088.55/x
  3. Step 3: Cross multiply
    6,376.95x = 9,564.21 × 3,088.55
  4. Step 4: Simplify right side
    6,376.95x = 29,539,564.71
  5. Step 5: Solve for x
    x = 29,539,564.71/6,376.95
  6. Step 6: Final answer
    x = 4,632.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.