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Finding the Fourth Proportional to 9,564.71, 13,199.28 and 5,315.63

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Solution

The fourth proportional to 9,564.71, 13,199.28 and 5,315.63 is: 7,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.71 : 13,199.28 = 5,315.63 : x
  2. Step 2: Convert to fraction form
    9,564.71/13,199.28 = 5,315.63/x
  3. Step 3: Cross multiply
    9,564.71x = 13,199.28 × 5,315.63
  4. Step 4: Simplify right side
    9,564.71x = 70,162,488.75
  5. Step 5: Solve for x
    x = 70,162,488.75/9,564.71
  6. Step 6: Final answer
    x = 7,335.56

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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.