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Finding the Fourth Proportional to 9,133.83, 13,701.62 and 2,560.00

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Solution

The fourth proportional to 9,133.83, 13,701.62 and 2,560.00 is: 3,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.83 : 13,701.62 = 2,560.00 : x
  2. Step 2: Convert to fraction form
    9,133.83/13,701.62 = 2,560.00/x
  3. Step 3: Cross multiply
    9,133.83x = 13,701.62 × 2,560.00
  4. Step 4: Simplify right side
    9,133.83x = 35,076,100.15
  5. Step 5: Solve for x
    x = 35,076,100.15/9,133.83
  6. Step 6: Final answer
    x = 3,840.24

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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.