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Finding the Fourth Proportional to 6,432.24, 9,647.64 and 4,365.52

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Solution

The fourth proportional to 6,432.24, 9,647.64 and 4,365.52 is: 6,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.24 : 9,647.64 = 4,365.52 : x
  2. Step 2: Convert to fraction form
    6,432.24/9,647.64 = 4,365.52/x
  3. Step 3: Cross multiply
    6,432.24x = 9,647.64 × 4,365.52
  4. Step 4: Simplify right side
    6,432.24x = 42,116,965.37
  5. Step 5: Solve for x
    x = 42,116,965.37/6,432.24
  6. Step 6: Final answer
    x = 6,547.79

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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.