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Finding the Fourth Proportional to 9,432.53, 13,017.91 and 5,846.53

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Solution

The fourth proportional to 9,432.53, 13,017.91 and 5,846.53 is: 8,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.53 : 13,017.91 = 5,846.53 : x
  2. Step 2: Convert to fraction form
    9,432.53/13,017.91 = 5,846.53/x
  3. Step 3: Cross multiply
    9,432.53x = 13,017.91 × 5,846.53
  4. Step 4: Simplify right side
    9,432.53x = 76,109,536.26
  5. Step 5: Solve for x
    x = 76,109,536.26/9,432.53
  6. Step 6: Final answer
    x = 8,068.84

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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.