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Finding the Fourth Proportional to 10,609.50, 14,641.19 and 6,632.95

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Solution

The fourth proportional to 10,609.50, 14,641.19 and 6,632.95 is: 9,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.50 : 14,641.19 = 6,632.95 : x
  2. Step 2: Convert to fraction form
    10,609.50/14,641.19 = 6,632.95/x
  3. Step 3: Cross multiply
    10,609.50x = 14,641.19 × 6,632.95
  4. Step 4: Simplify right side
    10,609.50x = 97,114,281.21
  5. Step 5: Solve for x
    x = 97,114,281.21/10,609.50
  6. Step 6: Final answer
    x = 9,153.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.