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Finding the Fourth Proportional to 9,291.52, 12,826.31 and 5,707.06

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Solution

The fourth proportional to 9,291.52, 12,826.31 and 5,707.06 is: 7,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.52 : 12,826.31 = 5,707.06 : x
  2. Step 2: Convert to fraction form
    9,291.52/12,826.31 = 5,707.06/x
  3. Step 3: Cross multiply
    9,291.52x = 12,826.31 × 5,707.06
  4. Step 4: Simplify right side
    9,291.52x = 73,200,460.15
  5. Step 5: Solve for x
    x = 73,200,460.15/9,291.52
  6. Step 6: Final answer
    x = 7,878.20

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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.