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Finding the Fourth Proportional to 9,885.06, 14,824.54 and 5,202.53

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Solution

The fourth proportional to 9,885.06, 14,824.54 and 5,202.53 is: 7,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.06 : 14,824.54 = 5,202.53 : x
  2. Step 2: Convert to fraction form
    9,885.06/14,824.54 = 5,202.53/x
  3. Step 3: Cross multiply
    9,885.06x = 14,824.54 × 5,202.53
  4. Step 4: Simplify right side
    9,885.06x = 77,125,114.09
  5. Step 5: Solve for x
    x = 77,125,114.09/9,885.06
  6. Step 6: Final answer
    x = 7,802.19

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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.