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Finding the Fourth Proportional to 9,696.56, 14,547.11 and 3,122.50

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Solution

The fourth proportional to 9,696.56, 14,547.11 and 3,122.50 is: 4,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.56 : 14,547.11 = 3,122.50 : x
  2. Step 2: Convert to fraction form
    9,696.56/14,547.11 = 3,122.50/x
  3. Step 3: Cross multiply
    9,696.56x = 14,547.11 × 3,122.50
  4. Step 4: Simplify right side
    9,696.56x = 45,423,278.24
  5. Step 5: Solve for x
    x = 45,423,278.24/9,696.56
  6. Step 6: Final answer
    x = 4,684.48

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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.