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Finding the Fourth Proportional to 9,239.16, 12,749.98 and 5,047.38

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Solution

The fourth proportional to 9,239.16, 12,749.98 and 5,047.38 is: 6,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.16 : 12,749.98 = 5,047.38 : x
  2. Step 2: Convert to fraction form
    9,239.16/12,749.98 = 5,047.38/x
  3. Step 3: Cross multiply
    9,239.16x = 12,749.98 × 5,047.38
  4. Step 4: Simplify right side
    9,239.16x = 64,353,994.05
  5. Step 5: Solve for x
    x = 64,353,994.05/9,239.16
  6. Step 6: Final answer
    x = 6,965.35

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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.