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Finding the Fourth Proportional to 9,527.83, 14,288.71 and 8,905.91

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Solution

The fourth proportional to 9,527.83, 14,288.71 and 8,905.91 is: 13,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.83 : 14,288.71 = 8,905.91 : x
  2. Step 2: Convert to fraction form
    9,527.83/14,288.71 = 8,905.91/x
  3. Step 3: Cross multiply
    9,527.83x = 14,288.71 × 8,905.91
  4. Step 4: Simplify right side
    9,527.83x = 127,253,965.28
  5. Step 5: Solve for x
    x = 127,253,965.28/9,527.83
  6. Step 6: Final answer
    x = 13,356.03

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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.