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Finding the Fourth Proportional to 9,969.90, 14,928.12 and 5,574.84

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Solution

The fourth proportional to 9,969.90, 14,928.12 and 5,574.84 is: 8,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.90 : 14,928.12 = 5,574.84 : x
  2. Step 2: Convert to fraction form
    9,969.90/14,928.12 = 5,574.84/x
  3. Step 3: Cross multiply
    9,969.90x = 14,928.12 × 5,574.84
  4. Step 4: Simplify right side
    9,969.90x = 83,221,880.50
  5. Step 5: Solve for x
    x = 83,221,880.50/9,969.90
  6. Step 6: Final answer
    x = 8,347.31

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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.