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Finding the Fourth Proportional to 9,934.16, 13,709.48 and 5,458.32

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Solution

The fourth proportional to 9,934.16, 13,709.48 and 5,458.32 is: 7,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.16 : 13,709.48 = 5,458.32 : x
  2. Step 2: Convert to fraction form
    9,934.16/13,709.48 = 5,458.32/x
  3. Step 3: Cross multiply
    9,934.16x = 13,709.48 × 5,458.32
  4. Step 4: Simplify right side
    9,934.16x = 74,830,728.87
  5. Step 5: Solve for x
    x = 74,830,728.87/9,934.16
  6. Step 6: Final answer
    x = 7,532.67

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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.