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Finding the Fourth Proportional to 6,646.77, 9,176.36 and 4,411.67

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Solution

The fourth proportional to 6,646.77, 9,176.36 and 4,411.67 is: 6,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.77 : 9,176.36 = 4,411.67 : x
  2. Step 2: Convert to fraction form
    6,646.77/9,176.36 = 4,411.67/x
  3. Step 3: Cross multiply
    6,646.77x = 9,176.36 × 4,411.67
  4. Step 4: Simplify right side
    6,646.77x = 40,483,004.18
  5. Step 5: Solve for x
    x = 40,483,004.18/6,646.77
  6. Step 6: Final answer
    x = 6,090.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.