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Finding the Fourth Proportional to 8,946.42, 13,359.34 and 7,306.16

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Solution

The fourth proportional to 8,946.42, 13,359.34 and 7,306.16 is: 10,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.42 : 13,359.34 = 7,306.16 : x
  2. Step 2: Convert to fraction form
    8,946.42/13,359.34 = 7,306.16/x
  3. Step 3: Cross multiply
    8,946.42x = 13,359.34 × 7,306.16
  4. Step 4: Simplify right side
    8,946.42x = 97,605,475.53
  5. Step 5: Solve for x
    x = 97,605,475.53/8,946.42
  6. Step 6: Final answer
    x = 10,910.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.