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Finding the Fourth Proportional to 9,714.60, 14,582.70 and 5,340.60

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Solution

The fourth proportional to 9,714.60, 14,582.70 and 5,340.60 is: 8,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.60 : 14,582.70 = 5,340.60 : x
  2. Step 2: Convert to fraction form
    9,714.60/14,582.70 = 5,340.60/x
  3. Step 3: Cross multiply
    9,714.60x = 14,582.70 × 5,340.60
  4. Step 4: Simplify right side
    9,714.60x = 77,880,367.62
  5. Step 5: Solve for x
    x = 77,880,367.62/9,714.60
  6. Step 6: Final answer
    x = 8,016.84

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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.