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Finding the Fourth Proportional to 9,784.54, 13,500.95 and 5,535.58

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Solution

The fourth proportional to 9,784.54, 13,500.95 and 5,535.58 is: 7,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.54 : 13,500.95 = 5,535.58 : x
  2. Step 2: Convert to fraction form
    9,784.54/13,500.95 = 5,535.58/x
  3. Step 3: Cross multiply
    9,784.54x = 13,500.95 × 5,535.58
  4. Step 4: Simplify right side
    9,784.54x = 74,735,588.80
  5. Step 5: Solve for x
    x = 74,735,588.80/9,784.54
  6. Step 6: Final answer
    x = 7,638.13

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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.