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Finding the Fourth Proportional to 9,334.02, 14,005.89 and 7,347.50

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Solution

The fourth proportional to 9,334.02, 14,005.89 and 7,347.50 is: 11,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.02 : 14,005.89 = 7,347.50 : x
  2. Step 2: Convert to fraction form
    9,334.02/14,005.89 = 7,347.50/x
  3. Step 3: Cross multiply
    9,334.02x = 14,005.89 × 7,347.50
  4. Step 4: Simplify right side
    9,334.02x = 102,908,206.75
  5. Step 5: Solve for x
    x = 102,908,206.75/9,334.02
  6. Step 6: Final answer
    x = 11,025.07

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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.