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Finding the Fourth Proportional to 9,716, 14,574.40 and 3,141.68

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Solution

The fourth proportional to 9,716, 14,574.40 and 3,141.68 is: 4,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716 : 14,574.40 = 3,141.68 : x
  2. Step 2: Convert to fraction form
    9,716/14,574.40 = 3,141.68/x
  3. Step 3: Cross multiply
    9,716x = 14,574.40 × 3,141.68
  4. Step 4: Simplify right side
    9,716x = 45,788,100.99
  5. Step 5: Solve for x
    x = 45,788,100.99/9,716
  6. Step 6: Final answer
    x = 4,712.65

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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.