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Finding the Fourth Proportional to 9,542.88, 14,301.72 and 4,603.50

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Solution

The fourth proportional to 9,542.88, 14,301.72 and 4,603.50 is: 6,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.88 : 14,301.72 = 4,603.50 : x
  2. Step 2: Convert to fraction form
    9,542.88/14,301.72 = 4,603.50/x
  3. Step 3: Cross multiply
    9,542.88x = 14,301.72 × 4,603.50
  4. Step 4: Simplify right side
    9,542.88x = 65,837,968.02
  5. Step 5: Solve for x
    x = 65,837,968.02/9,542.88
  6. Step 6: Final answer
    x = 6,899.17

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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.