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Finding the Fourth Proportional to 9,934.56, 13,709.00 and 5,458.50

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Solution

The fourth proportional to 9,934.56, 13,709.00 and 5,458.50 is: 7,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.56 : 13,709.00 = 5,458.50 : x
  2. Step 2: Convert to fraction form
    9,934.56/13,709.00 = 5,458.50/x
  3. Step 3: Cross multiply
    9,934.56x = 13,709.00 × 5,458.50
  4. Step 4: Simplify right side
    9,934.56x = 74,830,549.21
  5. Step 5: Solve for x
    x = 74,830,549.21/9,934.56
  6. Step 6: Final answer
    x = 7,532.35

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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.