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Finding the Fourth Proportional to 9,292.52, 12,823.94 and 5,101.04

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Solution

The fourth proportional to 9,292.52, 12,823.94 and 5,101.04 is: 7,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.52 : 12,823.94 = 5,101.04 : x
  2. Step 2: Convert to fraction form
    9,292.52/12,823.94 = 5,101.04/x
  3. Step 3: Cross multiply
    9,292.52x = 12,823.94 × 5,101.04
  4. Step 4: Simplify right side
    9,292.52x = 65,415,430.90
  5. Step 5: Solve for x
    x = 65,415,430.90/9,292.52
  6. Step 6: Final answer
    x = 7,039.58

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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.