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Finding the Fourth Proportional to 9,639.84, 13,302.80 and 5,390.64

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Solution

The fourth proportional to 9,639.84, 13,302.80 and 5,390.64 is: 7,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.84 : 13,302.80 = 5,390.64 : x
  2. Step 2: Convert to fraction form
    9,639.84/13,302.80 = 5,390.64/x
  3. Step 3: Cross multiply
    9,639.84x = 13,302.80 × 5,390.64
  4. Step 4: Simplify right side
    9,639.84x = 71,710,605.79
  5. Step 5: Solve for x
    x = 71,710,605.79/9,639.84
  6. Step 6: Final answer
    x = 7,438.98

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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.