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Finding the Fourth Proportional to 9,340.24, 13,969.02 and 8,307.46

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Solution

The fourth proportional to 9,340.24, 13,969.02 and 8,307.46 is: 12,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.24 : 13,969.02 = 8,307.46 : x
  2. Step 2: Convert to fraction form
    9,340.24/13,969.02 = 8,307.46/x
  3. Step 3: Cross multiply
    9,340.24x = 13,969.02 × 8,307.46
  4. Step 4: Simplify right side
    9,340.24x = 116,047,074.89
  5. Step 5: Solve for x
    x = 116,047,074.89/9,340.24
  6. Step 6: Final answer
    x = 12,424.42

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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.