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Finding the Fourth Proportional to 9,265.50, 13,898.16 and 7,875.54

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Solution

The fourth proportional to 9,265.50, 13,898.16 and 7,875.54 is: 11,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.50 : 13,898.16 = 7,875.54 : x
  2. Step 2: Convert to fraction form
    9,265.50/13,898.16 = 7,875.54/x
  3. Step 3: Cross multiply
    9,265.50x = 13,898.16 × 7,875.54
  4. Step 4: Simplify right side
    9,265.50x = 109,455,515.01
  5. Step 5: Solve for x
    x = 109,455,515.01/9,265.50
  6. Step 6: Final answer
    x = 11,813.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.