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Finding the Fourth Proportional to 9,527.46, 13,149.45 and 9,107.00

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Solution

The fourth proportional to 9,527.46, 13,149.45 and 9,107.00 is: 12,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.46 : 13,149.45 = 9,107.00 : x
  2. Step 2: Convert to fraction form
    9,527.46/13,149.45 = 9,107.00/x
  3. Step 3: Cross multiply
    9,527.46x = 13,149.45 × 9,107.00
  4. Step 4: Simplify right side
    9,527.46x = 119,751,975.40
  5. Step 5: Solve for x
    x = 119,751,975.40/9,527.46
  6. Step 6: Final answer
    x = 12,569.14

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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.