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Finding the Fourth Proportional to 9,826.40, 13,568.64 and 7,465.52

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Solution

The fourth proportional to 9,826.40, 13,568.64 and 7,465.52 is: 10,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.40 : 13,568.64 = 7,465.52 : x
  2. Step 2: Convert to fraction form
    9,826.40/13,568.64 = 7,465.52/x
  3. Step 3: Cross multiply
    9,826.40x = 13,568.64 × 7,465.52
  4. Step 4: Simplify right side
    9,826.40x = 101,296,953.29
  5. Step 5: Solve for x
    x = 101,296,953.29/9,826.40
  6. Step 6: Final answer
    x = 10,308.65

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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.