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Finding the Fourth Proportional to 9,565.22, 13,184.52 and 7,138.46

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Solution

The fourth proportional to 9,565.22, 13,184.52 and 7,138.46 is: 9,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.22 : 13,184.52 = 7,138.46 : x
  2. Step 2: Convert to fraction form
    9,565.22/13,184.52 = 7,138.46/x
  3. Step 3: Cross multiply
    9,565.22x = 13,184.52 × 7,138.46
  4. Step 4: Simplify right side
    9,565.22x = 94,117,102.72
  5. Step 5: Solve for x
    x = 94,117,102.72/9,565.22
  6. Step 6: Final answer
    x = 9,839.52

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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.