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Finding the Fourth Proportional to 9,860.68, 14,787.30 and 4,014.10

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Solution

The fourth proportional to 9,860.68, 14,787.30 and 4,014.10 is: 6,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.68 : 14,787.30 = 4,014.10 : x
  2. Step 2: Convert to fraction form
    9,860.68/14,787.30 = 4,014.10/x
  3. Step 3: Cross multiply
    9,860.68x = 14,787.30 × 4,014.10
  4. Step 4: Simplify right side
    9,860.68x = 59,357,700.93
  5. Step 5: Solve for x
    x = 59,357,700.93/9,860.68
  6. Step 6: Final answer
    x = 6,019.64

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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.