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Finding the Fourth Proportional to 9,158.24, 12,646.06 and 6,810.86

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Solution

The fourth proportional to 9,158.24, 12,646.06 and 6,810.86 is: 9,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.24 : 12,646.06 = 6,810.86 : x
  2. Step 2: Convert to fraction form
    9,158.24/12,646.06 = 6,810.86/x
  3. Step 3: Cross multiply
    9,158.24x = 12,646.06 × 6,810.86
  4. Step 4: Simplify right side
    9,158.24x = 86,130,544.21
  5. Step 5: Solve for x
    x = 86,130,544.21/9,158.24
  6. Step 6: Final answer
    x = 9,404.70

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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.