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Finding the Fourth Proportional to 9,738.03, 14,607.53 and 4,744.99

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Solution

The fourth proportional to 9,738.03, 14,607.53 and 4,744.99 is: 7,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.03 : 14,607.53 = 4,744.99 : x
  2. Step 2: Convert to fraction form
    9,738.03/14,607.53 = 4,744.99/x
  3. Step 3: Cross multiply
    9,738.03x = 14,607.53 × 4,744.99
  4. Step 4: Simplify right side
    9,738.03x = 69,312,583.77
  5. Step 5: Solve for x
    x = 69,312,583.77/9,738.03
  6. Step 6: Final answer
    x = 7,117.72

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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.