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Finding the Fourth Proportional to 9,597.64, 14,391.54 and 4,399

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Solution

The fourth proportional to 9,597.64, 14,391.54 and 4,399 is: 6,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.64 : 14,391.54 = 4,399 : x
  2. Step 2: Convert to fraction form
    9,597.64/14,391.54 = 4,399/x
  3. Step 3: Cross multiply
    9,597.64x = 14,391.54 × 4,399
  4. Step 4: Simplify right side
    9,597.64x = 63,308,384.46
  5. Step 5: Solve for x
    x = 63,308,384.46/9,597.64
  6. Step 6: Final answer
    x = 6,596.24

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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.