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Finding the Fourth Proportional to 9,170.40, 12,631.76 and 7,752.48

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Solution

The fourth proportional to 9,170.40, 12,631.76 and 7,752.48 is: 10,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.40 : 12,631.76 = 7,752.48 : x
  2. Step 2: Convert to fraction form
    9,170.40/12,631.76 = 7,752.48/x
  3. Step 3: Cross multiply
    9,170.40x = 12,631.76 × 7,752.48
  4. Step 4: Simplify right side
    9,170.40x = 97,927,466.76
  5. Step 5: Solve for x
    x = 97,927,466.76/9,170.40
  6. Step 6: Final answer
    x = 10,678.65

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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.