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Finding the Fourth Proportional to 9,135.84, 13,701.60 and 4,202.40

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Solution

The fourth proportional to 9,135.84, 13,701.60 and 4,202.40 is: 6,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.84 : 13,701.60 = 4,202.40 : x
  2. Step 2: Convert to fraction form
    9,135.84/13,701.60 = 4,202.40/x
  3. Step 3: Cross multiply
    9,135.84x = 13,701.60 × 4,202.40
  4. Step 4: Simplify right side
    9,135.84x = 57,579,603.84
  5. Step 5: Solve for x
    x = 57,579,603.84/9,135.84
  6. Step 6: Final answer
    x = 6,302.61

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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.