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Finding the Fourth Proportional to 9,078.12, 12,527.12 and 5,098.46

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Solution

The fourth proportional to 9,078.12, 12,527.12 and 5,098.46 is: 7,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.12 : 12,527.12 = 5,098.46 : x
  2. Step 2: Convert to fraction form
    9,078.12/12,527.12 = 5,098.46/x
  3. Step 3: Cross multiply
    9,078.12x = 12,527.12 × 5,098.46
  4. Step 4: Simplify right side
    9,078.12x = 63,868,970.35
  5. Step 5: Solve for x
    x = 63,868,970.35/9,078.12
  6. Step 6: Final answer
    x = 7,035.48

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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.