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Finding the Fourth Proportional to 9,483.98, 13,089.21 and 5,292.50

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Solution

The fourth proportional to 9,483.98, 13,089.21 and 5,292.50 is: 7,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.98 : 13,089.21 = 5,292.50 : x
  2. Step 2: Convert to fraction form
    9,483.98/13,089.21 = 5,292.50/x
  3. Step 3: Cross multiply
    9,483.98x = 13,089.21 × 5,292.50
  4. Step 4: Simplify right side
    9,483.98x = 69,274,643.93
  5. Step 5: Solve for x
    x = 69,274,643.93/9,483.98
  6. Step 6: Final answer
    x = 7,304.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.