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Finding the Fourth Proportional to 6,313.16, 9,470.61 and 2,802.89

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Solution

The fourth proportional to 6,313.16, 9,470.61 and 2,802.89 is: 4,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.16 : 9,470.61 = 2,802.89 : x
  2. Step 2: Convert to fraction form
    6,313.16/9,470.61 = 2,802.89/x
  3. Step 3: Cross multiply
    6,313.16x = 9,470.61 × 2,802.89
  4. Step 4: Simplify right side
    6,313.16x = 26,545,078.06
  5. Step 5: Solve for x
    x = 26,545,078.06/6,313.16
  6. Step 6: Final answer
    x = 4,204.72

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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.