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Finding the Fourth Proportional to 9,595.84, 13,236.54 and 7,077.14

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Solution

The fourth proportional to 9,595.84, 13,236.54 and 7,077.14 is: 9,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.84 : 13,236.54 = 7,077.14 : x
  2. Step 2: Convert to fraction form
    9,595.84/13,236.54 = 7,077.14/x
  3. Step 3: Cross multiply
    9,595.84x = 13,236.54 × 7,077.14
  4. Step 4: Simplify right side
    9,595.84x = 93,676,846.70
  5. Step 5: Solve for x
    x = 93,676,846.70/9,595.84
  6. Step 6: Final answer
    x = 9,762.24

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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.