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Finding the Fourth Proportional to 35,309.94, 52,964.86 and 9,014.68

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Solution

The fourth proportional to 35,309.94, 52,964.86 and 9,014.68 is: 13,522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,309.94 : 52,964.86 = 9,014.68 : x
  2. Step 2: Convert to fraction form
    35,309.94/52,964.86 = 9,014.68/x
  3. Step 3: Cross multiply
    35,309.94x = 52,964.86 × 9,014.68
  4. Step 4: Simplify right side
    35,309.94x = 477,461,264.14
  5. Step 5: Solve for x
    x = 477,461,264.14/35,309.94
  6. Step 6: Final answer
    x = 13,522.01

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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.