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Finding the Fourth Proportional to 9,712.56, 14,569 and 2,787.08

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Solution

The fourth proportional to 9,712.56, 14,569 and 2,787.08 is: 4,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.56 : 14,569 = 2,787.08 : x
  2. Step 2: Convert to fraction form
    9,712.56/14,569 = 2,787.08/x
  3. Step 3: Cross multiply
    9,712.56x = 14,569 × 2,787.08
  4. Step 4: Simplify right side
    9,712.56x = 40,604,968.52
  5. Step 5: Solve for x
    x = 40,604,968.52/9,712.56
  6. Step 6: Final answer
    x = 4,180.67

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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.