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Finding the Fourth Proportional to 9,957.20, 14,911.16 and 5,784.55

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Solution

The fourth proportional to 9,957.20, 14,911.16 and 5,784.55 is: 8,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.20 : 14,911.16 = 5,784.55 : x
  2. Step 2: Convert to fraction form
    9,957.20/14,911.16 = 5,784.55/x
  3. Step 3: Cross multiply
    9,957.20x = 14,911.16 × 5,784.55
  4. Step 4: Simplify right side
    9,957.20x = 86,254,350.58
  5. Step 5: Solve for x
    x = 86,254,350.58/9,957.20
  6. Step 6: Final answer
    x = 8,662.51

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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.