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Finding the Fourth Proportional to 7,145.60, 9,861.45 and 4,313.67

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Solution

The fourth proportional to 7,145.60, 9,861.45 and 4,313.67 is: 5,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.60 : 9,861.45 = 4,313.67 : x
  2. Step 2: Convert to fraction form
    7,145.60/9,861.45 = 4,313.67/x
  3. Step 3: Cross multiply
    7,145.60x = 9,861.45 × 4,313.67
  4. Step 4: Simplify right side
    7,145.60x = 42,539,041.02
  5. Step 5: Solve for x
    x = 42,539,041.02/7,145.60
  6. Step 6: Final answer
    x = 5,953.18

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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.