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Finding the Fourth Proportional to 9,351.10, 12,904.14 and 5,159.26

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Solution

The fourth proportional to 9,351.10, 12,904.14 and 5,159.26 is: 7,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.10 : 12,904.14 = 5,159.26 : x
  2. Step 2: Convert to fraction form
    9,351.10/12,904.14 = 5,159.26/x
  3. Step 3: Cross multiply
    9,351.10x = 12,904.14 × 5,159.26
  4. Step 4: Simplify right side
    9,351.10x = 66,575,813.34
  5. Step 5: Solve for x
    x = 66,575,813.34/9,351.10
  6. Step 6: Final answer
    x = 7,119.57

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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.