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Finding the Fourth Proportional to 9,756.66, 14,632.16 and 5,595.96

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Solution

The fourth proportional to 9,756.66, 14,632.16 and 5,595.96 is: 8,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.66 : 14,632.16 = 5,595.96 : x
  2. Step 2: Convert to fraction form
    9,756.66/14,632.16 = 5,595.96/x
  3. Step 3: Cross multiply
    9,756.66x = 14,632.16 × 5,595.96
  4. Step 4: Simplify right side
    9,756.66x = 81,880,954.09
  5. Step 5: Solve for x
    x = 81,880,954.09/9,756.66
  6. Step 6: Final answer
    x = 8,392.31

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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.