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Finding the Fourth Proportional to 9,897.54, 14,843.71 and 2,875.67

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Solution

The fourth proportional to 9,897.54, 14,843.71 and 2,875.67 is: 4,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.54 : 14,843.71 = 2,875.67 : x
  2. Step 2: Convert to fraction form
    9,897.54/14,843.71 = 2,875.67/x
  3. Step 3: Cross multiply
    9,897.54x = 14,843.71 × 2,875.67
  4. Step 4: Simplify right side
    9,897.54x = 42,685,611.54
  5. Step 5: Solve for x
    x = 42,685,611.54/9,897.54
  6. Step 6: Final answer
    x = 4,312.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.