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Finding the Fourth Proportional to 7,007.16, 9,666.81 and 4,614.04

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Solution

The fourth proportional to 7,007.16, 9,666.81 and 4,614.04 is: 6,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.16 : 9,666.81 = 4,614.04 : x
  2. Step 2: Convert to fraction form
    7,007.16/9,666.81 = 4,614.04/x
  3. Step 3: Cross multiply
    7,007.16x = 9,666.81 × 4,614.04
  4. Step 4: Simplify right side
    7,007.16x = 44,603,048.01
  5. Step 5: Solve for x
    x = 44,603,048.01/7,007.16
  6. Step 6: Final answer
    x = 6,365.35

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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.