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Finding the Fourth Proportional to 7,008.07, 9,670.64 and 3,864.19

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Solution

The fourth proportional to 7,008.07, 9,670.64 and 3,864.19 is: 5,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.07 : 9,670.64 = 3,864.19 : x
  2. Step 2: Convert to fraction form
    7,008.07/9,670.64 = 3,864.19/x
  3. Step 3: Cross multiply
    7,008.07x = 9,670.64 × 3,864.19
  4. Step 4: Simplify right side
    7,008.07x = 37,369,200.04
  5. Step 5: Solve for x
    x = 37,369,200.04/7,008.07
  6. Step 6: Final answer
    x = 5,332.31

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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.