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Finding the Fourth Proportional to 9,097.31, 12,554.39 and 5,953.50

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Solution

The fourth proportional to 9,097.31, 12,554.39 and 5,953.50 is: 8,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.31 : 12,554.39 = 5,953.50 : x
  2. Step 2: Convert to fraction form
    9,097.31/12,554.39 = 5,953.50/x
  3. Step 3: Cross multiply
    9,097.31x = 12,554.39 × 5,953.50
  4. Step 4: Simplify right side
    9,097.31x = 74,742,575.75
  5. Step 5: Solve for x
    x = 74,742,575.75/9,097.31
  6. Step 6: Final answer
    x = 8,215.90

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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.