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Finding the Fourth Proportional to 9,784.56, 13,502.58 and 5,535.56

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Solution

The fourth proportional to 9,784.56, 13,502.58 and 5,535.56 is: 7,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.56 : 13,502.58 = 5,535.56 : x
  2. Step 2: Convert to fraction form
    9,784.56/13,502.58 = 5,535.56/x
  3. Step 3: Cross multiply
    9,784.56x = 13,502.58 × 5,535.56
  4. Step 4: Simplify right side
    9,784.56x = 74,744,274.23
  5. Step 5: Solve for x
    x = 74,744,274.23/9,784.56
  6. Step 6: Final answer
    x = 7,639.00

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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.