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Finding the Fourth Proportional to 9,459.50, 13,053.98 and 5,210.46

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Solution

The fourth proportional to 9,459.50, 13,053.98 and 5,210.46 is: 7,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.50 : 13,053.98 = 5,210.46 : x
  2. Step 2: Convert to fraction form
    9,459.50/13,053.98 = 5,210.46/x
  3. Step 3: Cross multiply
    9,459.50x = 13,053.98 × 5,210.46
  4. Step 4: Simplify right side
    9,459.50x = 68,017,240.63
  5. Step 5: Solve for x
    x = 68,017,240.63/9,459.50
  6. Step 6: Final answer
    x = 7,190.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.