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Finding the Fourth Proportional to 9,303.59, 13,955.34 and 2,378.09

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Solution

The fourth proportional to 9,303.59, 13,955.34 and 2,378.09 is: 3,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.59 : 13,955.34 = 2,378.09 : x
  2. Step 2: Convert to fraction form
    9,303.59/13,955.34 = 2,378.09/x
  3. Step 3: Cross multiply
    9,303.59x = 13,955.34 × 2,378.09
  4. Step 4: Simplify right side
    9,303.59x = 33,187,054.50
  5. Step 5: Solve for x
    x = 33,187,054.50/9,303.59
  6. Step 6: Final answer
    x = 3,567.12

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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.