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Finding the Fourth Proportional to 9,580.23, 14,371.02 and 2,560.10

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Solution

The fourth proportional to 9,580.23, 14,371.02 and 2,560.10 is: 3,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.23 : 14,371.02 = 2,560.10 : x
  2. Step 2: Convert to fraction form
    9,580.23/14,371.02 = 2,560.10/x
  3. Step 3: Cross multiply
    9,580.23x = 14,371.02 × 2,560.10
  4. Step 4: Simplify right side
    9,580.23x = 36,791,176.45
  5. Step 5: Solve for x
    x = 36,791,176.45/9,580.23
  6. Step 6: Final answer
    x = 3,840.32

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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.