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Finding the Fourth Proportional to 9,565.26, 14,344.47 and 3,323.76

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Solution

The fourth proportional to 9,565.26, 14,344.47 and 3,323.76 is: 4,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.26 : 14,344.47 = 3,323.76 : x
  2. Step 2: Convert to fraction form
    9,565.26/14,344.47 = 3,323.76/x
  3. Step 3: Cross multiply
    9,565.26x = 14,344.47 × 3,323.76
  4. Step 4: Simplify right side
    9,565.26x = 47,677,575.61
  5. Step 5: Solve for x
    x = 47,677,575.61/9,565.26
  6. Step 6: Final answer
    x = 4,984.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.