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Finding the Fourth Proportional to 9,315.66, 13,975.22 and 3,076.11

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Solution

The fourth proportional to 9,315.66, 13,975.22 and 3,076.11 is: 4,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.66 : 13,975.22 = 3,076.11 : x
  2. Step 2: Convert to fraction form
    9,315.66/13,975.22 = 3,076.11/x
  3. Step 3: Cross multiply
    9,315.66x = 13,975.22 × 3,076.11
  4. Step 4: Simplify right side
    9,315.66x = 42,989,228.74
  5. Step 5: Solve for x
    x = 42,989,228.74/9,315.66
  6. Step 6: Final answer
    x = 4,614.73

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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.