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Finding the Fourth Proportional to 9,559.75, 13,192.50 and 5,368

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Solution

The fourth proportional to 9,559.75, 13,192.50 and 5,368 is: 7,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.75 : 13,192.50 = 5,368 : x
  2. Step 2: Convert to fraction form
    9,559.75/13,192.50 = 5,368/x
  3. Step 3: Cross multiply
    9,559.75x = 13,192.50 × 5,368
  4. Step 4: Simplify right side
    9,559.75x = 70,817,340
  5. Step 5: Solve for x
    x = 70,817,340/9,559.75
  6. Step 6: Final answer
    x = 7,407.87

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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.