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Finding the Fourth Proportional to 9,939.84, 14,909.76 and 3,014.40

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Solution

The fourth proportional to 9,939.84, 14,909.76 and 3,014.40 is: 4,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.84 : 14,909.76 = 3,014.40 : x
  2. Step 2: Convert to fraction form
    9,939.84/14,909.76 = 3,014.40/x
  3. Step 3: Cross multiply
    9,939.84x = 14,909.76 × 3,014.40
  4. Step 4: Simplify right side
    9,939.84x = 44,943,980.54
  5. Step 5: Solve for x
    x = 44,943,980.54/9,939.84
  6. Step 6: Final answer
    x = 4,521.60

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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.