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Finding the Fourth Proportional to 9,484.62, 13,085.72 and 5,292.06

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Solution

The fourth proportional to 9,484.62, 13,085.72 and 5,292.06 is: 7,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.62 : 13,085.72 = 5,292.06 : x
  2. Step 2: Convert to fraction form
    9,484.62/13,085.72 = 5,292.06/x
  3. Step 3: Cross multiply
    9,484.62x = 13,085.72 × 5,292.06
  4. Step 4: Simplify right side
    9,484.62x = 69,250,415.38
  5. Step 5: Solve for x
    x = 69,250,415.38/9,484.62
  6. Step 6: Final answer
    x = 7,301.34

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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.