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Finding the Fourth Proportional to 9,885.84, 13,636.53 and 6,528.66

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Solution

The fourth proportional to 9,885.84, 13,636.53 and 6,528.66 is: 9,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.84 : 13,636.53 = 6,528.66 : x
  2. Step 2: Convert to fraction form
    9,885.84/13,636.53 = 6,528.66/x
  3. Step 3: Cross multiply
    9,885.84x = 13,636.53 × 6,528.66
  4. Step 4: Simplify right side
    9,885.84x = 89,028,267.95
  5. Step 5: Solve for x
    x = 89,028,267.95/9,885.84
  6. Step 6: Final answer
    x = 9,005.64

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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.