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Finding the Fourth Proportional to 6,465.04, 8,925.50 and 4,230.82

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Solution

The fourth proportional to 6,465.04, 8,925.50 and 4,230.82 is: 5,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.04 : 8,925.50 = 4,230.82 : x
  2. Step 2: Convert to fraction form
    6,465.04/8,925.50 = 4,230.82/x
  3. Step 3: Cross multiply
    6,465.04x = 8,925.50 × 4,230.82
  4. Step 4: Simplify right side
    6,465.04x = 37,762,131.64
  5. Step 5: Solve for x
    x = 37,762,131.64/6,465.04
  6. Step 6: Final answer
    x = 5,840.97

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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.