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Finding the Fourth Proportional to 9,705.58, 14,529.35 and 5,945.51

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Solution

The fourth proportional to 9,705.58, 14,529.35 and 5,945.51 is: 8,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.58 : 14,529.35 = 5,945.51 : x
  2. Step 2: Convert to fraction form
    9,705.58/14,529.35 = 5,945.51/x
  3. Step 3: Cross multiply
    9,705.58x = 14,529.35 × 5,945.51
  4. Step 4: Simplify right side
    9,705.58x = 86,384,446.91
  5. Step 5: Solve for x
    x = 86,384,446.91/9,705.58
  6. Step 6: Final answer
    x = 8,900.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.