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Finding the Fourth Proportional to 9,235.74, 13,859.40 and 3,688.26

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Solution

The fourth proportional to 9,235.74, 13,859.40 and 3,688.26 is: 5,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.74 : 13,859.40 = 3,688.26 : x
  2. Step 2: Convert to fraction form
    9,235.74/13,859.40 = 3,688.26/x
  3. Step 3: Cross multiply
    9,235.74x = 13,859.40 × 3,688.26
  4. Step 4: Simplify right side
    9,235.74x = 51,117,070.64
  5. Step 5: Solve for x
    x = 51,117,070.64/9,235.74
  6. Step 6: Final answer
    x = 5,534.70

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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.