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Finding the Fourth Proportional to 7,005.96, 9,672.18 and 4,651.32

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Solution

The fourth proportional to 7,005.96, 9,672.18 and 4,651.32 is: 6,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.96 : 9,672.18 = 4,651.32 : x
  2. Step 2: Convert to fraction form
    7,005.96/9,672.18 = 4,651.32/x
  3. Step 3: Cross multiply
    7,005.96x = 9,672.18 × 4,651.32
  4. Step 4: Simplify right side
    7,005.96x = 44,988,404.28
  5. Step 5: Solve for x
    x = 44,988,404.28/7,005.96
  6. Step 6: Final answer
    x = 6,421.45

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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.