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Finding the Fourth Proportional to 9,897.76, 14,848.02 and 3,325.83

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Solution

The fourth proportional to 9,897.76, 14,848.02 and 3,325.83 is: 4,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.76 : 14,848.02 = 3,325.83 : x
  2. Step 2: Convert to fraction form
    9,897.76/14,848.02 = 3,325.83/x
  3. Step 3: Cross multiply
    9,897.76x = 14,848.02 × 3,325.83
  4. Step 4: Simplify right side
    9,897.76x = 49,381,990.36
  5. Step 5: Solve for x
    x = 49,381,990.36/9,897.76
  6. Step 6: Final answer
    x = 4,989.21

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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.