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Finding the Fourth Proportional to 9,986.36, 14,980.14 and 3,746.18

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Solution

The fourth proportional to 9,986.36, 14,980.14 and 3,746.18 is: 5,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.36 : 14,980.14 = 3,746.18 : x
  2. Step 2: Convert to fraction form
    9,986.36/14,980.14 = 3,746.18/x
  3. Step 3: Cross multiply
    9,986.36x = 14,980.14 × 3,746.18
  4. Step 4: Simplify right side
    9,986.36x = 56,118,338.32
  5. Step 5: Solve for x
    x = 56,118,338.32/9,986.36
  6. Step 6: Final answer
    x = 5,619.50

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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.