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Finding the Fourth Proportional to 9,710.96, 13,400.72 and 5,733.35

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Solution

The fourth proportional to 9,710.96, 13,400.72 and 5,733.35 is: 7,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.96 : 13,400.72 = 5,733.35 : x
  2. Step 2: Convert to fraction form
    9,710.96/13,400.72 = 5,733.35/x
  3. Step 3: Cross multiply
    9,710.96x = 13,400.72 × 5,733.35
  4. Step 4: Simplify right side
    9,710.96x = 76,830,994.09
  5. Step 5: Solve for x
    x = 76,830,994.09/9,710.96
  6. Step 6: Final answer
    x = 7,911.79

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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.