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Finding the Fourth Proportional to 9,354, 14,010.40 and 7,732.74

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Solution

The fourth proportional to 9,354, 14,010.40 and 7,732.74 is: 11,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354 : 14,010.40 = 7,732.74 : x
  2. Step 2: Convert to fraction form
    9,354/14,010.40 = 7,732.74/x
  3. Step 3: Cross multiply
    9,354x = 14,010.40 × 7,732.74
  4. Step 4: Simplify right side
    9,354x = 108,338,780.50
  5. Step 5: Solve for x
    x = 108,338,780.50/9,354
  6. Step 6: Final answer
    x = 11,582.08

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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.