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Finding the Fourth Proportional to 9,292.18, 12,820.16 and 5,703.44

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Solution

The fourth proportional to 9,292.18, 12,820.16 and 5,703.44 is: 7,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.18 : 12,820.16 = 5,703.44 : x
  2. Step 2: Convert to fraction form
    9,292.18/12,820.16 = 5,703.44/x
  3. Step 3: Cross multiply
    9,292.18x = 12,820.16 × 5,703.44
  4. Step 4: Simplify right side
    9,292.18x = 73,119,013.35
  5. Step 5: Solve for x
    x = 73,119,013.35/9,292.18
  6. Step 6: Final answer
    x = 7,868.88

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