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Finding the Fourth Proportional to 9,774, 14,663.16 and 3,618

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Solution

The fourth proportional to 9,774, 14,663.16 and 3,618 is: 5,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 14,663.16 = 3,618 : x
  2. Step 2: Convert to fraction form
    9,774/14,663.16 = 3,618/x
  3. Step 3: Cross multiply
    9,774x = 14,663.16 × 3,618
  4. Step 4: Simplify right side
    9,774x = 53,051,312.88
  5. Step 5: Solve for x
    x = 53,051,312.88/9,774
  6. Step 6: Final answer
    x = 5,427.80

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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.