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Finding the Fourth Proportional to 9,269.40, 13,878.54 and 4,877.40

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Solution

The fourth proportional to 9,269.40, 13,878.54 and 4,877.40 is: 7,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.40 : 13,878.54 = 4,877.40 : x
  2. Step 2: Convert to fraction form
    9,269.40/13,878.54 = 4,877.40/x
  3. Step 3: Cross multiply
    9,269.40x = 13,878.54 × 4,877.40
  4. Step 4: Simplify right side
    9,269.40x = 67,691,191.00
  5. Step 5: Solve for x
    x = 67,691,191.00/9,269.40
  6. Step 6: Final answer
    x = 7,302.65

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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.