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Finding the Fourth Proportional to 9,496.88, 14,254.50 and 4,569.92

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Solution

The fourth proportional to 9,496.88, 14,254.50 and 4,569.92 is: 6,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.88 : 14,254.50 = 4,569.92 : x
  2. Step 2: Convert to fraction form
    9,496.88/14,254.50 = 4,569.92/x
  3. Step 3: Cross multiply
    9,496.88x = 14,254.50 × 4,569.92
  4. Step 4: Simplify right side
    9,496.88x = 65,141,924.64
  5. Step 5: Solve for x
    x = 65,141,924.64/9,496.88
  6. Step 6: Final answer
    x = 6,859.30

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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.