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Finding the Fourth Proportional to 9,735.77, 13,435.36 and 5,259.52

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Solution

The fourth proportional to 9,735.77, 13,435.36 and 5,259.52 is: 7,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.77 : 13,435.36 = 5,259.52 : x
  2. Step 2: Convert to fraction form
    9,735.77/13,435.36 = 5,259.52/x
  3. Step 3: Cross multiply
    9,735.77x = 13,435.36 × 5,259.52
  4. Step 4: Simplify right side
    9,735.77x = 70,663,548.27
  5. Step 5: Solve for x
    x = 70,663,548.27/9,735.77
  6. Step 6: Final answer
    x = 7,258.13

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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.