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Finding the Fourth Proportional to 9,787.65, 14,670.09 and 4,860.42

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Solution

The fourth proportional to 9,787.65, 14,670.09 and 4,860.42 is: 7,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.65 : 14,670.09 = 4,860.42 : x
  2. Step 2: Convert to fraction form
    9,787.65/14,670.09 = 4,860.42/x
  3. Step 3: Cross multiply
    9,787.65x = 14,670.09 × 4,860.42
  4. Step 4: Simplify right side
    9,787.65x = 71,302,798.84
  5. Step 5: Solve for x
    x = 71,302,798.84/9,787.65
  6. Step 6: Final answer
    x = 7,284.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.