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Finding the Fourth Proportional to 9,104.86, 12,564.94 and 5,126.11

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Solution

The fourth proportional to 9,104.86, 12,564.94 and 5,126.11 is: 7,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.86 : 12,564.94 = 5,126.11 : x
  2. Step 2: Convert to fraction form
    9,104.86/12,564.94 = 5,126.11/x
  3. Step 3: Cross multiply
    9,104.86x = 12,564.94 × 5,126.11
  4. Step 4: Simplify right side
    9,104.86x = 64,409,264.58
  5. Step 5: Solve for x
    x = 64,409,264.58/9,104.86
  6. Step 6: Final answer
    x = 7,074.16

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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.