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Finding the Fourth Proportional to 9,603.55, 14,390.74 and 4,671.87

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Solution

The fourth proportional to 9,603.55, 14,390.74 and 4,671.87 is: 7,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.55 : 14,390.74 = 4,671.87 : x
  2. Step 2: Convert to fraction form
    9,603.55/14,390.74 = 4,671.87/x
  3. Step 3: Cross multiply
    9,603.55x = 14,390.74 × 4,671.87
  4. Step 4: Simplify right side
    9,603.55x = 67,231,666.48
  5. Step 5: Solve for x
    x = 67,231,666.48/9,603.55
  6. Step 6: Final answer
    x = 7,000.71

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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.