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Finding the Fourth Proportional to 9,532.56, 13,154.76 and 5,283.48

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Solution

The fourth proportional to 9,532.56, 13,154.76 and 5,283.48 is: 7,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.56 : 13,154.76 = 5,283.48 : x
  2. Step 2: Convert to fraction form
    9,532.56/13,154.76 = 5,283.48/x
  3. Step 3: Cross multiply
    9,532.56x = 13,154.76 × 5,283.48
  4. Step 4: Simplify right side
    9,532.56x = 69,502,911.36
  5. Step 5: Solve for x
    x = 69,502,911.36/9,532.56
  6. Step 6: Final answer
    x = 7,291.11

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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.