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Finding the Fourth Proportional to 9,672.81, 14,503.54 and 3,095.61

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Solution

The fourth proportional to 9,672.81, 14,503.54 and 3,095.61 is: 4,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.81 : 14,503.54 = 3,095.61 : x
  2. Step 2: Convert to fraction form
    9,672.81/14,503.54 = 3,095.61/x
  3. Step 3: Cross multiply
    9,672.81x = 14,503.54 × 3,095.61
  4. Step 4: Simplify right side
    9,672.81x = 44,897,303.46
  5. Step 5: Solve for x
    x = 44,897,303.46/9,672.81
  6. Step 6: Final answer
    x = 4,641.60

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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.