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Finding the Fourth Proportional to 9,335, 14,002.77 and 2,409.50

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Solution

The fourth proportional to 9,335, 14,002.77 and 2,409.50 is: 3,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335 : 14,002.77 = 2,409.50 : x
  2. Step 2: Convert to fraction form
    9,335/14,002.77 = 2,409.50/x
  3. Step 3: Cross multiply
    9,335x = 14,002.77 × 2,409.50
  4. Step 4: Simplify right side
    9,335x = 33,739,674.32
  5. Step 5: Solve for x
    x = 33,739,674.32/9,335
  6. Step 6: Final answer
    x = 3,614.32

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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.