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Finding the Fourth Proportional to 6,410.48, 9,590.43 and 4,854.98

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Solution

The fourth proportional to 6,410.48, 9,590.43 and 4,854.98 is: 7,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.48 : 9,590.43 = 4,854.98 : x
  2. Step 2: Convert to fraction form
    6,410.48/9,590.43 = 4,854.98/x
  3. Step 3: Cross multiply
    6,410.48x = 9,590.43 × 4,854.98
  4. Step 4: Simplify right side
    6,410.48x = 46,561,369.82
  5. Step 5: Solve for x
    x = 46,561,369.82/6,410.48
  6. Step 6: Final answer
    x = 7,263.32

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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.