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Finding the Fourth Proportional to 9,613.64, 13,262.10 and 7,485.39

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Solution

The fourth proportional to 9,613.64, 13,262.10 and 7,485.39 is: 10,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.64 : 13,262.10 = 7,485.39 : x
  2. Step 2: Convert to fraction form
    9,613.64/13,262.10 = 7,485.39/x
  3. Step 3: Cross multiply
    9,613.64x = 13,262.10 × 7,485.39
  4. Step 4: Simplify right side
    9,613.64x = 99,271,990.72
  5. Step 5: Solve for x
    x = 99,271,990.72/9,613.64
  6. Step 6: Final answer
    x = 10,326.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.