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Finding the Fourth Proportional to 9,386.83, 14,070.93 and 5,228.74

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Solution

The fourth proportional to 9,386.83, 14,070.93 and 5,228.74 is: 7,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.83 : 14,070.93 = 5,228.74 : x
  2. Step 2: Convert to fraction form
    9,386.83/14,070.93 = 5,228.74/x
  3. Step 3: Cross multiply
    9,386.83x = 14,070.93 × 5,228.74
  4. Step 4: Simplify right side
    9,386.83x = 73,573,234.53
  5. Step 5: Solve for x
    x = 73,573,234.53/9,386.83
  6. Step 6: Final answer
    x = 7,837.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.