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Finding the Fourth Proportional to 9,399.65, 14,097.71 and 4,718.40

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Solution

The fourth proportional to 9,399.65, 14,097.71 and 4,718.40 is: 7,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.65 : 14,097.71 = 4,718.40 : x
  2. Step 2: Convert to fraction form
    9,399.65/14,097.71 = 4,718.40/x
  3. Step 3: Cross multiply
    9,399.65x = 14,097.71 × 4,718.40
  4. Step 4: Simplify right side
    9,399.65x = 66,518,673.09
  5. Step 5: Solve for x
    x = 66,518,673.09/9,399.65
  6. Step 6: Final answer
    x = 7,076.72

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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.