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Finding the Fourth Proportional to 12,288.29, 16,956.12 and 6,909.98

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Solution

The fourth proportional to 12,288.29, 16,956.12 and 6,909.98 is: 9,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.29 : 16,956.12 = 6,909.98 : x
  2. Step 2: Convert to fraction form
    12,288.29/16,956.12 = 6,909.98/x
  3. Step 3: Cross multiply
    12,288.29x = 16,956.12 × 6,909.98
  4. Step 4: Simplify right side
    12,288.29x = 117,166,492.47
  5. Step 5: Solve for x
    x = 117,166,492.47/12,288.29
  6. Step 6: Final answer
    x = 9,534.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.