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Finding the Fourth Proportional to 9,551.34, 14,332.66 and 5,168.70

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Solution

The fourth proportional to 9,551.34, 14,332.66 and 5,168.70 is: 7,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.34 : 14,332.66 = 5,168.70 : x
  2. Step 2: Convert to fraction form
    9,551.34/14,332.66 = 5,168.70/x
  3. Step 3: Cross multiply
    9,551.34x = 14,332.66 × 5,168.70
  4. Step 4: Simplify right side
    9,551.34x = 74,081,219.74
  5. Step 5: Solve for x
    x = 74,081,219.74/9,551.34
  6. Step 6: Final answer
    x = 7,756.11

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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.