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Finding the Fourth Proportional to 9,501.88, 14,256.92 and 5,118.46

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Solution

The fourth proportional to 9,501.88, 14,256.92 and 5,118.46 is: 7,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.88 : 14,256.92 = 5,118.46 : x
  2. Step 2: Convert to fraction form
    9,501.88/14,256.92 = 5,118.46/x
  3. Step 3: Cross multiply
    9,501.88x = 14,256.92 × 5,118.46
  4. Step 4: Simplify right side
    9,501.88x = 72,973,474.74
  5. Step 5: Solve for x
    x = 72,973,474.74/9,501.88
  6. Step 6: Final answer
    x = 7,679.90

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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.