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Finding the Fourth Proportional to 9,142.92, 12,618 and 5,164.20

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Solution

The fourth proportional to 9,142.92, 12,618 and 5,164.20 is: 7,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.92 : 12,618 = 5,164.20 : x
  2. Step 2: Convert to fraction form
    9,142.92/12,618 = 5,164.20/x
  3. Step 3: Cross multiply
    9,142.92x = 12,618 × 5,164.20
  4. Step 4: Simplify right side
    9,142.92x = 65,161,875.60
  5. Step 5: Solve for x
    x = 65,161,875.60/9,142.92
  6. Step 6: Final answer
    x = 7,127.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.