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Finding the Fourth Proportional to 9,752.99, 13,459.03 and 5,276.64

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Solution

The fourth proportional to 9,752.99, 13,459.03 and 5,276.64 is: 7,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.99 : 13,459.03 = 5,276.64 : x
  2. Step 2: Convert to fraction form
    9,752.99/13,459.03 = 5,276.64/x
  3. Step 3: Cross multiply
    9,752.99x = 13,459.03 × 5,276.64
  4. Step 4: Simplify right side
    9,752.99x = 71,018,493.34
  5. Step 5: Solve for x
    x = 71,018,493.34/9,752.99
  6. Step 6: Final answer
    x = 7,281.72

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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.