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Finding the Fourth Proportional to 9,952.80, 13,733.30 and 5,703.04

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Solution

The fourth proportional to 9,952.80, 13,733.30 and 5,703.04 is: 7,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.80 : 13,733.30 = 5,703.04 : x
  2. Step 2: Convert to fraction form
    9,952.80/13,733.30 = 5,703.04/x
  3. Step 3: Cross multiply
    9,952.80x = 13,733.30 × 5,703.04
  4. Step 4: Simplify right side
    9,952.80x = 78,321,582.22
  5. Step 5: Solve for x
    x = 78,321,582.22/9,952.80
  6. Step 6: Final answer
    x = 7,869.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.