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Finding the Fourth Proportional to 9,778.02, 14,656.02 and 4,851.19

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Solution

The fourth proportional to 9,778.02, 14,656.02 and 4,851.19 is: 7,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.02 : 14,656.02 = 4,851.19 : x
  2. Step 2: Convert to fraction form
    9,778.02/14,656.02 = 4,851.19/x
  3. Step 3: Cross multiply
    9,778.02x = 14,656.02 × 4,851.19
  4. Step 4: Simplify right side
    9,778.02x = 71,099,137.66
  5. Step 5: Solve for x
    x = 71,099,137.66/9,778.02
  6. Step 6: Final answer
    x = 7,271.32

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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.