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Finding the Fourth Proportional to 6,199.17, 9,298.76 and 1,582.17

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Solution

The fourth proportional to 6,199.17, 9,298.76 and 1,582.17 is: 2,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.17 : 9,298.76 = 1,582.17 : x
  2. Step 2: Convert to fraction form
    6,199.17/9,298.76 = 1,582.17/x
  3. Step 3: Cross multiply
    6,199.17x = 9,298.76 × 1,582.17
  4. Step 4: Simplify right side
    6,199.17x = 14,712,211.20
  5. Step 5: Solve for x
    x = 14,712,211.20/6,199.17
  6. Step 6: Final answer
    x = 2,373.26

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