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Finding the Fourth Proportional to 9,723.12, 14,508.80 and 8,675.92

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Solution

The fourth proportional to 9,723.12, 14,508.80 and 8,675.92 is: 12,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.12 : 14,508.80 = 8,675.92 : x
  2. Step 2: Convert to fraction form
    9,723.12/14,508.80 = 8,675.92/x
  3. Step 3: Cross multiply
    9,723.12x = 14,508.80 × 8,675.92
  4. Step 4: Simplify right side
    9,723.12x = 125,877,188.10
  5. Step 5: Solve for x
    x = 125,877,188.10/9,723.12
  6. Step 6: Final answer
    x = 12,946.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.