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Finding the Fourth Proportional to 9,432.54, 13,017.30 and 5,656.32

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Solution

The fourth proportional to 9,432.54, 13,017.30 and 5,656.32 is: 7,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.54 : 13,017.30 = 5,656.32 : x
  2. Step 2: Convert to fraction form
    9,432.54/13,017.30 = 5,656.32/x
  3. Step 3: Cross multiply
    9,432.54x = 13,017.30 × 5,656.32
  4. Step 4: Simplify right side
    9,432.54x = 73,630,014.34
  5. Step 5: Solve for x
    x = 73,630,014.34/9,432.54
  6. Step 6: Final answer
    x = 7,805.96

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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.