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Finding the Fourth Proportional to 7,152.32, 9,861.90 and 6,709.52

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Solution

The fourth proportional to 7,152.32, 9,861.90 and 6,709.52 is: 9,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.32 : 9,861.90 = 6,709.52 : x
  2. Step 2: Convert to fraction form
    7,152.32/9,861.90 = 6,709.52/x
  3. Step 3: Cross multiply
    7,152.32x = 9,861.90 × 6,709.52
  4. Step 4: Simplify right side
    7,152.32x = 66,168,615.29
  5. Step 5: Solve for x
    x = 66,168,615.29/7,152.32
  6. Step 6: Final answer
    x = 9,251.35

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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.