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Finding the Fourth Proportional to 9,357.50, 12,913.35 and 5,165.75

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Solution

The fourth proportional to 9,357.50, 12,913.35 and 5,165.75 is: 7,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.50 : 12,913.35 = 5,165.75 : x
  2. Step 2: Convert to fraction form
    9,357.50/12,913.35 = 5,165.75/x
  3. Step 3: Cross multiply
    9,357.50x = 12,913.35 × 5,165.75
  4. Step 4: Simplify right side
    9,357.50x = 66,707,137.76
  5. Step 5: Solve for x
    x = 66,707,137.76/9,357.50
  6. Step 6: Final answer
    x = 7,128.74

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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.