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Finding the Fourth Proportional to 9,527.86, 13,153.01 and 6,346.45

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Solution

The fourth proportional to 9,527.86, 13,153.01 and 6,346.45 is: 8,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.86 : 13,153.01 = 6,346.45 : x
  2. Step 2: Convert to fraction form
    9,527.86/13,153.01 = 6,346.45/x
  3. Step 3: Cross multiply
    9,527.86x = 13,153.01 × 6,346.45
  4. Step 4: Simplify right side
    9,527.86x = 83,474,920.31
  5. Step 5: Solve for x
    x = 83,474,920.31/9,527.86
  6. Step 6: Final answer
    x = 8,761.14

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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.