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Finding the Fourth Proportional to 9,809.76, 13,537.60 and 5,618

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Solution

The fourth proportional to 9,809.76, 13,537.60 and 5,618 is: 7,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.76 : 13,537.60 = 5,618 : x
  2. Step 2: Convert to fraction form
    9,809.76/13,537.60 = 5,618/x
  3. Step 3: Cross multiply
    9,809.76x = 13,537.60 × 5,618
  4. Step 4: Simplify right side
    9,809.76x = 76,054,236.80
  5. Step 5: Solve for x
    x = 76,054,236.80/9,809.76
  6. Step 6: Final answer
    x = 7,752.92

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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.