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Finding the Fourth Proportional to 9,602.96, 14,391.95 and 4,919.00

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Solution

The fourth proportional to 9,602.96, 14,391.95 and 4,919.00 is: 7,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.96 : 14,391.95 = 4,919.00 : x
  2. Step 2: Convert to fraction form
    9,602.96/14,391.95 = 4,919.00/x
  3. Step 3: Cross multiply
    9,602.96x = 14,391.95 × 4,919.00
  4. Step 4: Simplify right side
    9,602.96x = 70,793,905.50
  5. Step 5: Solve for x
    x = 70,793,905.50/9,602.96
  6. Step 6: Final answer
    x = 7,372.10

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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.