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Finding the Fourth Proportional to 9,980.20, 13,771.74 and 5,788

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Solution

The fourth proportional to 9,980.20, 13,771.74 and 5,788 is: 7,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.20 : 13,771.74 = 5,788 : x
  2. Step 2: Convert to fraction form
    9,980.20/13,771.74 = 5,788/x
  3. Step 3: Cross multiply
    9,980.20x = 13,771.74 × 5,788
  4. Step 4: Simplify right side
    9,980.20x = 79,710,831.12
  5. Step 5: Solve for x
    x = 79,710,831.12/9,980.20
  6. Step 6: Final answer
    x = 7,986.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.