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Finding the Fourth Proportional to 9,526.16, 13,152.52 and 5,946.57

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Solution

The fourth proportional to 9,526.16, 13,152.52 and 5,946.57 is: 8,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.16 : 13,152.52 = 5,946.57 : x
  2. Step 2: Convert to fraction form
    9,526.16/13,152.52 = 5,946.57/x
  3. Step 3: Cross multiply
    9,526.16x = 13,152.52 × 5,946.57
  4. Step 4: Simplify right side
    9,526.16x = 78,212,408.56
  5. Step 5: Solve for x
    x = 78,212,408.56/9,526.16
  6. Step 6: Final answer
    x = 8,210.28

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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.