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Finding the Fourth Proportional to 7,068.72, 9,754.38 and 4,416

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Solution

The fourth proportional to 7,068.72, 9,754.38 and 4,416 is: 6,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.72 : 9,754.38 = 4,416 : x
  2. Step 2: Convert to fraction form
    7,068.72/9,754.38 = 4,416/x
  3. Step 3: Cross multiply
    7,068.72x = 9,754.38 × 4,416
  4. Step 4: Simplify right side
    7,068.72x = 43,075,342.08
  5. Step 5: Solve for x
    x = 43,075,342.08/7,068.72
  6. Step 6: Final answer
    x = 6,093.80

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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.