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Finding the Fourth Proportional to 9,708.38, 13,379.80 and 7,051.18

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Solution

The fourth proportional to 9,708.38, 13,379.80 and 7,051.18 is: 9,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.38 : 13,379.80 = 7,051.18 : x
  2. Step 2: Convert to fraction form
    9,708.38/13,379.80 = 7,051.18/x
  3. Step 3: Cross multiply
    9,708.38x = 13,379.80 × 7,051.18
  4. Step 4: Simplify right side
    9,708.38x = 94,343,276.01
  5. Step 5: Solve for x
    x = 94,343,276.01/9,708.38
  6. Step 6: Final answer
    x = 9,717.72

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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.