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Finding the Fourth Proportional to 9,106.86, 12,562.70 and 5,748.46

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Solution

The fourth proportional to 9,106.86, 12,562.70 and 5,748.46 is: 7,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.86 : 12,562.70 = 5,748.46 : x
  2. Step 2: Convert to fraction form
    9,106.86/12,562.70 = 5,748.46/x
  3. Step 3: Cross multiply
    9,106.86x = 12,562.70 × 5,748.46
  4. Step 4: Simplify right side
    9,106.86x = 72,216,192.81
  5. Step 5: Solve for x
    x = 72,216,192.81/9,106.86
  6. Step 6: Final answer
    x = 7,929.87

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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.