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Finding the Fourth Proportional to 9,729.79, 14,598.13 and 4,802.89

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Solution

The fourth proportional to 9,729.79, 14,598.13 and 4,802.89 is: 7,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.79 : 14,598.13 = 4,802.89 : x
  2. Step 2: Convert to fraction form
    9,729.79/14,598.13 = 4,802.89/x
  3. Step 3: Cross multiply
    9,729.79x = 14,598.13 × 4,802.89
  4. Step 4: Simplify right side
    9,729.79x = 70,113,212.60
  5. Step 5: Solve for x
    x = 70,113,212.60/9,729.79
  6. Step 6: Final answer
    x = 7,206.04

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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.