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Finding the Fourth Proportional to 9,313.50, 13,970.40 and 2,293.53

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Solution

The fourth proportional to 9,313.50, 13,970.40 and 2,293.53 is: 3,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.50 : 13,970.40 = 2,293.53 : x
  2. Step 2: Convert to fraction form
    9,313.50/13,970.40 = 2,293.53/x
  3. Step 3: Cross multiply
    9,313.50x = 13,970.40 × 2,293.53
  4. Step 4: Simplify right side
    9,313.50x = 32,041,531.51
  5. Step 5: Solve for x
    x = 32,041,531.51/9,313.50
  6. Step 6: Final answer
    x = 3,440.33

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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.