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Finding the Fourth Proportional to 9,143.46, 12,618 and 4,951.74

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Solution

The fourth proportional to 9,143.46, 12,618 and 4,951.74 is: 6,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.46 : 12,618 = 4,951.74 : x
  2. Step 2: Convert to fraction form
    9,143.46/12,618 = 4,951.74/x
  3. Step 3: Cross multiply
    9,143.46x = 12,618 × 4,951.74
  4. Step 4: Simplify right side
    9,143.46x = 62,481,055.32
  5. Step 5: Solve for x
    x = 62,481,055.32/9,143.46
  6. Step 6: Final answer
    x = 6,833.41

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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.