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Finding the Fourth Proportional to 9,699.70, 14,555.92 and 5,320.23

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Solution

The fourth proportional to 9,699.70, 14,555.92 and 5,320.23 is: 7,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.70 : 14,555.92 = 5,320.23 : x
  2. Step 2: Convert to fraction form
    9,699.70/14,555.92 = 5,320.23/x
  3. Step 3: Cross multiply
    9,699.70x = 14,555.92 × 5,320.23
  4. Step 4: Simplify right side
    9,699.70x = 77,440,842.26
  5. Step 5: Solve for x
    x = 77,440,842.26/9,699.70
  6. Step 6: Final answer
    x = 7,983.84

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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.