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Finding the Fourth Proportional to 9,531.98, 13,154.91 and 5,283.46

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Solution

The fourth proportional to 9,531.98, 13,154.91 and 5,283.46 is: 7,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.98 : 13,154.91 = 5,283.46 : x
  2. Step 2: Convert to fraction form
    9,531.98/13,154.91 = 5,283.46/x
  3. Step 3: Cross multiply
    9,531.98x = 13,154.91 × 5,283.46
  4. Step 4: Simplify right side
    9,531.98x = 69,503,437.42
  5. Step 5: Solve for x
    x = 69,503,437.42/9,531.98
  6. Step 6: Final answer
    x = 7,291.61

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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.