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Finding the Fourth Proportional to 6,432.51, 9,663.56 and 4,563.02

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Solution

The fourth proportional to 6,432.51, 9,663.56 and 4,563.02 is: 6,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.51 : 9,663.56 = 4,563.02 : x
  2. Step 2: Convert to fraction form
    6,432.51/9,663.56 = 4,563.02/x
  3. Step 3: Cross multiply
    6,432.51x = 9,663.56 × 4,563.02
  4. Step 4: Simplify right side
    6,432.51x = 44,094,946.42
  5. Step 5: Solve for x
    x = 44,094,946.42/6,432.51
  6. Step 6: Final answer
    x = 6,855.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.