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Finding the Fourth Proportional to 6,970.64, 9,618 and 4,137.92

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Solution

The fourth proportional to 6,970.64, 9,618 and 4,137.92 is: 5,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.64 : 9,618 = 4,137.92 : x
  2. Step 2: Convert to fraction form
    6,970.64/9,618 = 4,137.92/x
  3. Step 3: Cross multiply
    6,970.64x = 9,618 × 4,137.92
  4. Step 4: Simplify right side
    6,970.64x = 39,798,514.56
  5. Step 5: Solve for x
    x = 39,798,514.56/6,970.64
  6. Step 6: Final answer
    x = 5,709.45

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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.