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Finding the Fourth Proportional to 7,048.16, 9,722.40 and 4,564.16

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Solution

The fourth proportional to 7,048.16, 9,722.40 and 4,564.16 is: 6,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.16 : 9,722.40 = 4,564.16 : x
  2. Step 2: Convert to fraction form
    7,048.16/9,722.40 = 4,564.16/x
  3. Step 3: Cross multiply
    7,048.16x = 9,722.40 × 4,564.16
  4. Step 4: Simplify right side
    7,048.16x = 44,374,589.18
  5. Step 5: Solve for x
    x = 44,374,589.18/7,048.16
  6. Step 6: Final answer
    x = 6,295.91

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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.