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Finding the Fourth Proportional to 9,494.46, 13,102.35 and 5,302.71

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Solution

The fourth proportional to 9,494.46, 13,102.35 and 5,302.71 is: 7,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.46 : 13,102.35 = 5,302.71 : x
  2. Step 2: Convert to fraction form
    9,494.46/13,102.35 = 5,302.71/x
  3. Step 3: Cross multiply
    9,494.46x = 13,102.35 × 5,302.71
  4. Step 4: Simplify right side
    9,494.46x = 69,477,962.37
  5. Step 5: Solve for x
    x = 69,477,962.37/9,494.46
  6. Step 6: Final answer
    x = 7,317.74

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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.