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Finding the Fourth Proportional to 6,262.19, 9,392.94 and 1,582.14

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Solution

The fourth proportional to 6,262.19, 9,392.94 and 1,582.14 is: 2,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.19 : 9,392.94 = 1,582.14 : x
  2. Step 2: Convert to fraction form
    6,262.19/9,392.94 = 1,582.14/x
  3. Step 3: Cross multiply
    6,262.19x = 9,392.94 × 1,582.14
  4. Step 4: Simplify right side
    6,262.19x = 14,860,946.09
  5. Step 5: Solve for x
    x = 14,860,946.09/6,262.19
  6. Step 6: Final answer
    x = 2,373.12

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