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Finding the Fourth Proportional to 6,378.94, 9,503.69 and 6,065.20

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Solution

The fourth proportional to 6,378.94, 9,503.69 and 6,065.20 is: 9,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.94 : 9,503.69 = 6,065.20 : x
  2. Step 2: Convert to fraction form
    6,378.94/9,503.69 = 6,065.20/x
  3. Step 3: Cross multiply
    6,378.94x = 9,503.69 × 6,065.20
  4. Step 4: Simplify right side
    6,378.94x = 57,641,780.59
  5. Step 5: Solve for x
    x = 57,641,780.59/6,378.94
  6. Step 6: Final answer
    x = 9,036.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.