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Finding the Fourth Proportional to 6,425.49, 9,616.32 and 5,386.67

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Solution

The fourth proportional to 6,425.49, 9,616.32 and 5,386.67 is: 8,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.49 : 9,616.32 = 5,386.67 : x
  2. Step 2: Convert to fraction form
    6,425.49/9,616.32 = 5,386.67/x
  3. Step 3: Cross multiply
    6,425.49x = 9,616.32 × 5,386.67
  4. Step 4: Simplify right side
    6,425.49x = 51,799,894.37
  5. Step 5: Solve for x
    x = 51,799,894.37/6,425.49
  6. Step 6: Final answer
    x = 8,061.63

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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.