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Finding the Fourth Proportional to 9,703.84, 13,390.50 and 5,725.12

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Solution

The fourth proportional to 9,703.84, 13,390.50 and 5,725.12 is: 7,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.84 : 13,390.50 = 5,725.12 : x
  2. Step 2: Convert to fraction form
    9,703.84/13,390.50 = 5,725.12/x
  3. Step 3: Cross multiply
    9,703.84x = 13,390.50 × 5,725.12
  4. Step 4: Simplify right side
    9,703.84x = 76,662,219.36
  5. Step 5: Solve for x
    x = 76,662,219.36/9,703.84
  6. Step 6: Final answer
    x = 7,900.19

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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.