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Finding the Fourth Proportional to 9,397.07, 14,097 and 3,069.95

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Solution

The fourth proportional to 9,397.07, 14,097 and 3,069.95 is: 4,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.07 : 14,097 = 3,069.95 : x
  2. Step 2: Convert to fraction form
    9,397.07/14,097 = 3,069.95/x
  3. Step 3: Cross multiply
    9,397.07x = 14,097 × 3,069.95
  4. Step 4: Simplify right side
    9,397.07x = 43,277,014.67
  5. Step 5: Solve for x
    x = 43,277,014.67/9,397.07
  6. Step 6: Final answer
    x = 4,605.38

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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.