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Finding the Fourth Proportional to 6,528.56, 9,005.44 and 3,875.40

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Solution

The fourth proportional to 6,528.56, 9,005.44 and 3,875.40 is: 5,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.56 : 9,005.44 = 3,875.40 : x
  2. Step 2: Convert to fraction form
    6,528.56/9,005.44 = 3,875.40/x
  3. Step 3: Cross multiply
    6,528.56x = 9,005.44 × 3,875.40
  4. Step 4: Simplify right side
    6,528.56x = 34,899,682.18
  5. Step 5: Solve for x
    x = 34,899,682.18/6,528.56
  6. Step 6: Final answer
    x = 5,345.69

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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.