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Finding the Fourth Proportional to 9,847.04, 14,762.16 and 3,271.52

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Solution

The fourth proportional to 9,847.04, 14,762.16 and 3,271.52 is: 4,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.04 : 14,762.16 = 3,271.52 : x
  2. Step 2: Convert to fraction form
    9,847.04/14,762.16 = 3,271.52/x
  3. Step 3: Cross multiply
    9,847.04x = 14,762.16 × 3,271.52
  4. Step 4: Simplify right side
    9,847.04x = 48,294,701.68
  5. Step 5: Solve for x
    x = 48,294,701.68/9,847.04
  6. Step 6: Final answer
    x = 4,904.49

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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.