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Finding the Fourth Proportional to 6,514.22, 9,735.57 and 4,762.91

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Solution

The fourth proportional to 6,514.22, 9,735.57 and 4,762.91 is: 7,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.22 : 9,735.57 = 4,762.91 : x
  2. Step 2: Convert to fraction form
    6,514.22/9,735.57 = 4,762.91/x
  3. Step 3: Cross multiply
    6,514.22x = 9,735.57 × 4,762.91
  4. Step 4: Simplify right side
    6,514.22x = 46,369,643.71
  5. Step 5: Solve for x
    x = 46,369,643.71/6,514.22
  6. Step 6: Final answer
    x = 7,118.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.