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Finding the Fourth Proportional to 9,487.07, 13,089.71 and 6,503.84

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Solution

The fourth proportional to 9,487.07, 13,089.71 and 6,503.84 is: 8,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.07 : 13,089.71 = 6,503.84 : x
  2. Step 2: Convert to fraction form
    9,487.07/13,089.71 = 6,503.84/x
  3. Step 3: Cross multiply
    9,487.07x = 13,089.71 × 6,503.84
  4. Step 4: Simplify right side
    9,487.07x = 85,133,346.97
  5. Step 5: Solve for x
    x = 85,133,346.97/9,487.07
  6. Step 6: Final answer
    x = 8,973.62

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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.