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Finding the Fourth Proportional to 9,119.68, 13,692.48 and 8,702.08

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Solution

The fourth proportional to 9,119.68, 13,692.48 and 8,702.08 is: 13,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.68 : 13,692.48 = 8,702.08 : x
  2. Step 2: Convert to fraction form
    9,119.68/13,692.48 = 8,702.08/x
  3. Step 3: Cross multiply
    9,119.68x = 13,692.48 × 8,702.08
  4. Step 4: Simplify right side
    9,119.68x = 119,153,056.36
  5. Step 5: Solve for x
    x = 119,153,056.36/9,119.68
  6. Step 6: Final answer
    x = 13,065.49

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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.