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Finding the Fourth Proportional to 9,563.16, 14,332.63 and 5,405.50

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Solution

The fourth proportional to 9,563.16, 14,332.63 and 5,405.50 is: 8,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.16 : 14,332.63 = 5,405.50 : x
  2. Step 2: Convert to fraction form
    9,563.16/14,332.63 = 5,405.50/x
  3. Step 3: Cross multiply
    9,563.16x = 14,332.63 × 5,405.50
  4. Step 4: Simplify right side
    9,563.16x = 77,475,031.47
  5. Step 5: Solve for x
    x = 77,475,031.47/9,563.16
  6. Step 6: Final answer
    x = 8,101.40

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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.