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Finding the Fourth Proportional to 9,534.88, 14,302.14 and 2,960.92

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Solution

The fourth proportional to 9,534.88, 14,302.14 and 2,960.92 is: 4,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.88 : 14,302.14 = 2,960.92 : x
  2. Step 2: Convert to fraction form
    9,534.88/14,302.14 = 2,960.92/x
  3. Step 3: Cross multiply
    9,534.88x = 14,302.14 × 2,960.92
  4. Step 4: Simplify right side
    9,534.88x = 42,347,492.37
  5. Step 5: Solve for x
    x = 42,347,492.37/9,534.88
  6. Step 6: Final answer
    x = 4,441.32

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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.