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Finding the Fourth Proportional to 7,042.64, 9,722.68 and 4,807.84

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Solution

The fourth proportional to 7,042.64, 9,722.68 and 4,807.84 is: 6,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.64 : 9,722.68 = 4,807.84 : x
  2. Step 2: Convert to fraction form
    7,042.64/9,722.68 = 4,807.84/x
  3. Step 3: Cross multiply
    7,042.64x = 9,722.68 × 4,807.84
  4. Step 4: Simplify right side
    7,042.64x = 46,745,089.81
  5. Step 5: Solve for x
    x = 46,745,089.81/7,042.64
  6. Step 6: Final answer
    x = 6,637.44

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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.