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Finding the Fourth Proportional to 9,582.54, 14,353.02 and 4,641.78

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Solution

The fourth proportional to 9,582.54, 14,353.02 and 4,641.78 is: 6,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.54 : 14,353.02 = 4,641.78 : x
  2. Step 2: Convert to fraction form
    9,582.54/14,353.02 = 4,641.78/x
  3. Step 3: Cross multiply
    9,582.54x = 14,353.02 × 4,641.78
  4. Step 4: Simplify right side
    9,582.54x = 66,623,561.18
  5. Step 5: Solve for x
    x = 66,623,561.18/9,582.54
  6. Step 6: Final answer
    x = 6,952.60

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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.