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Finding the Fourth Proportional to 9,870.52, 14,808.10 and 3,206.99

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Solution

The fourth proportional to 9,870.52, 14,808.10 and 3,206.99 is: 4,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.52 : 14,808.10 = 3,206.99 : x
  2. Step 2: Convert to fraction form
    9,870.52/14,808.10 = 3,206.99/x
  3. Step 3: Cross multiply
    9,870.52x = 14,808.10 × 3,206.99
  4. Step 4: Simplify right side
    9,870.52x = 47,489,457.62
  5. Step 5: Solve for x
    x = 47,489,457.62/9,870.52
  6. Step 6: Final answer
    x = 4,811.24

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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.