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Finding the Fourth Proportional to 9,973.40, 14,960.10 and 3,047.90

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Solution

The fourth proportional to 9,973.40, 14,960.10 and 3,047.90 is: 4,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.40 : 14,960.10 = 3,047.90 : x
  2. Step 2: Convert to fraction form
    9,973.40/14,960.10 = 3,047.90/x
  3. Step 3: Cross multiply
    9,973.40x = 14,960.10 × 3,047.90
  4. Step 4: Simplify right side
    9,973.40x = 45,596,888.79
  5. Step 5: Solve for x
    x = 45,596,888.79/9,973.40
  6. Step 6: Final answer
    x = 4,571.85

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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.