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Finding the Fourth Proportional to 9,362, 14,023.02 and 6,065.30

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Solution

The fourth proportional to 9,362, 14,023.02 and 6,065.30 is: 9,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362 : 14,023.02 = 6,065.30 : x
  2. Step 2: Convert to fraction form
    9,362/14,023.02 = 6,065.30/x
  3. Step 3: Cross multiply
    9,362x = 14,023.02 × 6,065.30
  4. Step 4: Simplify right side
    9,362x = 85,053,823.21
  5. Step 5: Solve for x
    x = 85,053,823.21/9,362
  6. Step 6: Final answer
    x = 9,085.01

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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.