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Finding the Fourth Proportional to 9,378.54, 14,062.14 and 4,693.10

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Solution

The fourth proportional to 9,378.54, 14,062.14 and 4,693.10 is: 7,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.54 : 14,062.14 = 4,693.10 : x
  2. Step 2: Convert to fraction form
    9,378.54/14,062.14 = 4,693.10/x
  3. Step 3: Cross multiply
    9,378.54x = 14,062.14 × 4,693.10
  4. Step 4: Simplify right side
    9,378.54x = 65,994,958.92
  5. Step 5: Solve for x
    x = 65,994,958.92/9,378.54
  6. Step 6: Final answer
    x = 7,036.81

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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.