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Finding the Fourth Proportional to 9,672, 14,505.12 and 6,550.08

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Solution

The fourth proportional to 9,672, 14,505.12 and 6,550.08 is: 9,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672 : 14,505.12 = 6,550.08 : x
  2. Step 2: Convert to fraction form
    9,672/14,505.12 = 6,550.08/x
  3. Step 3: Cross multiply
    9,672x = 14,505.12 × 6,550.08
  4. Step 4: Simplify right side
    9,672x = 95,009,696.41
  5. Step 5: Solve for x
    x = 95,009,696.41/9,672
  6. Step 6: Final answer
    x = 9,823.17

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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.