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Finding the Fourth Proportional to 9,937.43, 13,725.78 and 7,430.64

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Solution

The fourth proportional to 9,937.43, 13,725.78 and 7,430.64 is: 10,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.43 : 13,725.78 = 7,430.64 : x
  2. Step 2: Convert to fraction form
    9,937.43/13,725.78 = 7,430.64/x
  3. Step 3: Cross multiply
    9,937.43x = 13,725.78 × 7,430.64
  4. Step 4: Simplify right side
    9,937.43x = 101,991,271.46
  5. Step 5: Solve for x
    x = 101,991,271.46/9,937.43
  6. Step 6: Final answer
    x = 10,263.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.