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Finding the Fourth Proportional to 6,497.04, 9,742.68 and 4,550.16

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Solution

The fourth proportional to 6,497.04, 9,742.68 and 4,550.16 is: 6,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.04 : 9,742.68 = 4,550.16 : x
  2. Step 2: Convert to fraction form
    6,497.04/9,742.68 = 4,550.16/x
  3. Step 3: Cross multiply
    6,497.04x = 9,742.68 × 4,550.16
  4. Step 4: Simplify right side
    6,497.04x = 44,330,752.83
  5. Step 5: Solve for x
    x = 44,330,752.83/6,497.04
  6. Step 6: Final answer
    x = 6,823.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.