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Finding the Fourth Proportional to 9,758.09, 13,466.18 and 5,281.88

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Solution

The fourth proportional to 9,758.09, 13,466.18 and 5,281.88 is: 7,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.09 : 13,466.18 = 5,281.88 : x
  2. Step 2: Convert to fraction form
    9,758.09/13,466.18 = 5,281.88/x
  3. Step 3: Cross multiply
    9,758.09x = 13,466.18 × 5,281.88
  4. Step 4: Simplify right side
    9,758.09x = 71,126,746.82
  5. Step 5: Solve for x
    x = 71,126,746.82/9,758.09
  6. Step 6: Final answer
    x = 7,289.00

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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.