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Finding the Fourth Proportional to 9,708.50, 13,397.74 and 5,292.50

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Solution

The fourth proportional to 9,708.50, 13,397.74 and 5,292.50 is: 7,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.50 : 13,397.74 = 5,292.50 : x
  2. Step 2: Convert to fraction form
    9,708.50/13,397.74 = 5,292.50/x
  3. Step 3: Cross multiply
    9,708.50x = 13,397.74 × 5,292.50
  4. Step 4: Simplify right side
    9,708.50x = 70,907,538.95
  5. Step 5: Solve for x
    x = 70,907,538.95/9,708.50
  6. Step 6: Final answer
    x = 7,303.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.