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Finding the Fourth Proportional to 9,756.37, 14,636.58 and 3,182.41

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Solution

The fourth proportional to 9,756.37, 14,636.58 and 3,182.41 is: 4,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.37 : 14,636.58 = 3,182.41 : x
  2. Step 2: Convert to fraction form
    9,756.37/14,636.58 = 3,182.41/x
  3. Step 3: Cross multiply
    9,756.37x = 14,636.58 × 3,182.41
  4. Step 4: Simplify right side
    9,756.37x = 46,579,598.56
  5. Step 5: Solve for x
    x = 46,579,598.56/9,756.37
  6. Step 6: Final answer
    x = 4,774.28

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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.