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Finding the Fourth Proportional to 9,643.70, 14,458.35 and 5,266.10

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Solution

The fourth proportional to 9,643.70, 14,458.35 and 5,266.10 is: 7,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.70 : 14,458.35 = 5,266.10 : x
  2. Step 2: Convert to fraction form
    9,643.70/14,458.35 = 5,266.10/x
  3. Step 3: Cross multiply
    9,643.70x = 14,458.35 × 5,266.10
  4. Step 4: Simplify right side
    9,643.70x = 76,139,116.94
  5. Step 5: Solve for x
    x = 76,139,116.94/9,643.70
  6. Step 6: Final answer
    x = 7,895.22

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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.