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Finding the Fourth Proportional to 9,943, 14,914.59 and 3,017.50

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Solution

The fourth proportional to 9,943, 14,914.59 and 3,017.50 is: 4,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943 : 14,914.59 = 3,017.50 : x
  2. Step 2: Convert to fraction form
    9,943/14,914.59 = 3,017.50/x
  3. Step 3: Cross multiply
    9,943x = 14,914.59 × 3,017.50
  4. Step 4: Simplify right side
    9,943x = 45,004,775.33
  5. Step 5: Solve for x
    x = 45,004,775.33/9,943
  6. Step 6: Final answer
    x = 4,526.28

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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.