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Finding the Fourth Proportional to 9,580.47, 14,370.68 and 3,007.17

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Solution

The fourth proportional to 9,580.47, 14,370.68 and 3,007.17 is: 4,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.47 : 14,370.68 = 3,007.17 : x
  2. Step 2: Convert to fraction form
    9,580.47/14,370.68 = 3,007.17/x
  3. Step 3: Cross multiply
    9,580.47x = 14,370.68 × 3,007.17
  4. Step 4: Simplify right side
    9,580.47x = 43,215,077.78
  5. Step 5: Solve for x
    x = 43,215,077.78/9,580.47
  6. Step 6: Final answer
    x = 4,510.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.