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Finding the Fourth Proportional to 9,597.01, 14,384.58 and 5,840.50

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Solution

The fourth proportional to 9,597.01, 14,384.58 and 5,840.50 is: 8,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.01 : 14,384.58 = 5,840.50 : x
  2. Step 2: Convert to fraction form
    9,597.01/14,384.58 = 5,840.50/x
  3. Step 3: Cross multiply
    9,597.01x = 14,384.58 × 5,840.50
  4. Step 4: Simplify right side
    9,597.01x = 84,013,139.49
  5. Step 5: Solve for x
    x = 84,013,139.49/9,597.01
  6. Step 6: Final answer
    x = 8,754.10

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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.