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Finding the Fourth Proportional to 9,723.29, 14,602.50 and 8,941.85

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Solution

The fourth proportional to 9,723.29, 14,602.50 and 8,941.85 is: 13,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.29 : 14,602.50 = 8,941.85 : x
  2. Step 2: Convert to fraction form
    9,723.29/14,602.50 = 8,941.85/x
  3. Step 3: Cross multiply
    9,723.29x = 14,602.50 × 8,941.85
  4. Step 4: Simplify right side
    9,723.29x = 130,573,364.63
  5. Step 5: Solve for x
    x = 130,573,364.63/9,723.29
  6. Step 6: Final answer
    x = 13,428.93

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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.