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Finding the Fourth Proportional to 9,348.54, 12,900.66 and 5,156.76

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Solution

The fourth proportional to 9,348.54, 12,900.66 and 5,156.76 is: 7,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.54 : 12,900.66 = 5,156.76 : x
  2. Step 2: Convert to fraction form
    9,348.54/12,900.66 = 5,156.76/x
  3. Step 3: Cross multiply
    9,348.54x = 12,900.66 × 5,156.76
  4. Step 4: Simplify right side
    9,348.54x = 66,525,607.46
  5. Step 5: Solve for x
    x = 66,525,607.46/9,348.54
  6. Step 6: Final answer
    x = 7,116.15

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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.