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Finding the Fourth Proportional to 9,153.14, 13,703.76 and 6,023.73

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Solution

The fourth proportional to 9,153.14, 13,703.76 and 6,023.73 is: 9,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.14 : 13,703.76 = 6,023.73 : x
  2. Step 2: Convert to fraction form
    9,153.14/13,703.76 = 6,023.73/x
  3. Step 3: Cross multiply
    9,153.14x = 13,703.76 × 6,023.73
  4. Step 4: Simplify right side
    9,153.14x = 82,547,750.22
  5. Step 5: Solve for x
    x = 82,547,750.22/9,153.14
  6. Step 6: Final answer
    x = 9,018.52

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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.