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Finding the Fourth Proportional to 6,476.16, 9,000.48 and 6,407.04

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Solution

The fourth proportional to 6,476.16, 9,000.48 and 6,407.04 is: 8,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.16 : 9,000.48 = 6,407.04 : x
  2. Step 2: Convert to fraction form
    6,476.16/9,000.48 = 6,407.04/x
  3. Step 3: Cross multiply
    6,476.16x = 9,000.48 × 6,407.04
  4. Step 4: Simplify right side
    6,476.16x = 57,666,435.38
  5. Step 5: Solve for x
    x = 57,666,435.38/6,476.16
  6. Step 6: Final answer
    x = 8,904.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.