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Finding the Fourth Proportional to 6,848.16, 9,440.64 and 4,606.08

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Solution

The fourth proportional to 6,848.16, 9,440.64 and 4,606.08 is: 6,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.16 : 9,440.64 = 4,606.08 : x
  2. Step 2: Convert to fraction form
    6,848.16/9,440.64 = 4,606.08/x
  3. Step 3: Cross multiply
    6,848.16x = 9,440.64 × 4,606.08
  4. Step 4: Simplify right side
    6,848.16x = 43,484,343.09
  5. Step 5: Solve for x
    x = 43,484,343.09/6,848.16
  6. Step 6: Final answer
    x = 6,349.78

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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.