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Finding the Fourth Proportional to 9,284.85, 13,929.30 and 4,607.40

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Solution

The fourth proportional to 9,284.85, 13,929.30 and 4,607.40 is: 6,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.85 : 13,929.30 = 4,607.40 : x
  2. Step 2: Convert to fraction form
    9,284.85/13,929.30 = 4,607.40/x
  3. Step 3: Cross multiply
    9,284.85x = 13,929.30 × 4,607.40
  4. Step 4: Simplify right side
    9,284.85x = 64,177,856.82
  5. Step 5: Solve for x
    x = 64,177,856.82/9,284.85
  6. Step 6: Final answer
    x = 6,912.10

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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.