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Finding the Fourth Proportional to 9,307.98, 13,965 and 4,378.11

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Solution

The fourth proportional to 9,307.98, 13,965 and 4,378.11 is: 6,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.98 : 13,965 = 4,378.11 : x
  2. Step 2: Convert to fraction form
    9,307.98/13,965 = 4,378.11/x
  3. Step 3: Cross multiply
    9,307.98x = 13,965 × 4,378.11
  4. Step 4: Simplify right side
    9,307.98x = 61,140,306.15
  5. Step 5: Solve for x
    x = 61,140,306.15/9,307.98
  6. Step 6: Final answer
    x = 6,568.59

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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.