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Finding the Fourth Proportional to 9,301.48, 12,835.62 and 5,109.64

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Solution

The fourth proportional to 9,301.48, 12,835.62 and 5,109.64 is: 7,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.48 : 12,835.62 = 5,109.64 : x
  2. Step 2: Convert to fraction form
    9,301.48/12,835.62 = 5,109.64/x
  3. Step 3: Cross multiply
    9,301.48x = 12,835.62 × 5,109.64
  4. Step 4: Simplify right side
    9,301.48x = 65,585,397.38
  5. Step 5: Solve for x
    x = 65,585,397.38/9,301.48
  6. Step 6: Final answer
    x = 7,051.07

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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.