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Finding the Fourth Proportional to 9,820.66, 14,741.88 and 4,888.98

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Solution

The fourth proportional to 9,820.66, 14,741.88 and 4,888.98 is: 7,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.66 : 14,741.88 = 4,888.98 : x
  2. Step 2: Convert to fraction form
    9,820.66/14,741.88 = 4,888.98/x
  3. Step 3: Cross multiply
    9,820.66x = 14,741.88 × 4,888.98
  4. Step 4: Simplify right side
    9,820.66x = 72,072,756.48
  5. Step 5: Solve for x
    x = 72,072,756.48/9,820.66
  6. Step 6: Final answer
    x = 7,338.89

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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.