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Finding the Fourth Proportional to 9,477.90, 14,216.85 and 2,552.40

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Solution

The fourth proportional to 9,477.90, 14,216.85 and 2,552.40 is: 3,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.90 : 14,216.85 = 2,552.40 : x
  2. Step 2: Convert to fraction form
    9,477.90/14,216.85 = 2,552.40/x
  3. Step 3: Cross multiply
    9,477.90x = 14,216.85 × 2,552.40
  4. Step 4: Simplify right side
    9,477.90x = 36,287,087.94
  5. Step 5: Solve for x
    x = 36,287,087.94/9,477.90
  6. Step 6: Final answer
    x = 3,828.60

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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.