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Finding the Fourth Proportional to 6,395.16, 9,569.93 and 4,421.19

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Solution

The fourth proportional to 6,395.16, 9,569.93 and 4,421.19 is: 6,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.16 : 9,569.93 = 4,421.19 : x
  2. Step 2: Convert to fraction form
    6,395.16/9,569.93 = 4,421.19/x
  3. Step 3: Cross multiply
    6,395.16x = 9,569.93 × 4,421.19
  4. Step 4: Simplify right side
    6,395.16x = 42,310,478.82
  5. Step 5: Solve for x
    x = 42,310,478.82/6,395.16
  6. Step 6: Final answer
    x = 6,616.02

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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.