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Finding the Fourth Proportional to 9,703.36, 13,395.56 and 5,725.68

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Solution

The fourth proportional to 9,703.36, 13,395.56 and 5,725.68 is: 7,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.36 : 13,395.56 = 5,725.68 : x
  2. Step 2: Convert to fraction form
    9,703.36/13,395.56 = 5,725.68/x
  3. Step 3: Cross multiply
    9,703.36x = 13,395.56 × 5,725.68
  4. Step 4: Simplify right side
    9,703.36x = 76,698,689.98
  5. Step 5: Solve for x
    x = 76,698,689.98/9,703.36
  6. Step 6: Final answer
    x = 7,904.34

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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.