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Finding the Fourth Proportional to 9,293.56, 13,941.06 and 2,368

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Solution

The fourth proportional to 9,293.56, 13,941.06 and 2,368 is: 3,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.56 : 13,941.06 = 2,368 : x
  2. Step 2: Convert to fraction form
    9,293.56/13,941.06 = 2,368/x
  3. Step 3: Cross multiply
    9,293.56x = 13,941.06 × 2,368
  4. Step 4: Simplify right side
    9,293.56x = 33,012,430.08
  5. Step 5: Solve for x
    x = 33,012,430.08/9,293.56
  6. Step 6: Final answer
    x = 3,552.18

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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.