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Finding the Fourth Proportional to 9,598.49, 14,347.08 and 8,339.21

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Solution

The fourth proportional to 9,598.49, 14,347.08 and 8,339.21 is: 12,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.49 : 14,347.08 = 8,339.21 : x
  2. Step 2: Convert to fraction form
    9,598.49/14,347.08 = 8,339.21/x
  3. Step 3: Cross multiply
    9,598.49x = 14,347.08 × 8,339.21
  4. Step 4: Simplify right side
    9,598.49x = 119,643,271.31
  5. Step 5: Solve for x
    x = 119,643,271.31/9,598.49
  6. Step 6: Final answer
    x = 12,464.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.