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Finding the Fourth Proportional to 9,307.40, 13,926.54 and 5,206.28

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Solution

The fourth proportional to 9,307.40, 13,926.54 and 5,206.28 is: 7,790.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.40 : 13,926.54 = 5,206.28 : x
  2. Step 2: Convert to fraction form
    9,307.40/13,926.54 = 5,206.28/x
  3. Step 3: Cross multiply
    9,307.40x = 13,926.54 × 5,206.28
  4. Step 4: Simplify right side
    9,307.40x = 72,505,466.67
  5. Step 5: Solve for x
    x = 72,505,466.67/9,307.40
  6. Step 6: Final answer
    x = 7,790.09

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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.