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Finding the Fourth Proportional to 9,547.50, 14,325.80 and 4,614.39

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Solution

The fourth proportional to 9,547.50, 14,325.80 and 4,614.39 is: 6,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.50 : 14,325.80 = 4,614.39 : x
  2. Step 2: Convert to fraction form
    9,547.50/14,325.80 = 4,614.39/x
  3. Step 3: Cross multiply
    9,547.50x = 14,325.80 × 4,614.39
  4. Step 4: Simplify right side
    9,547.50x = 66,104,828.26
  5. Step 5: Solve for x
    x = 66,104,828.26/9,547.50
  6. Step 6: Final answer
    x = 6,923.78

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Why These Related Problems?

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