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Finding the Fourth Proportional to 9,002.10, 12,423.14 and 5,024.00

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Solution

The fourth proportional to 9,002.10, 12,423.14 and 5,024.00 is: 6,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.10 : 12,423.14 = 5,024.00 : x
  2. Step 2: Convert to fraction form
    9,002.10/12,423.14 = 5,024.00/x
  3. Step 3: Cross multiply
    9,002.10x = 12,423.14 × 5,024.00
  4. Step 4: Simplify right side
    9,002.10x = 62,413,768.12
  5. Step 5: Solve for x
    x = 62,413,768.12/9,002.10
  6. Step 6: Final answer
    x = 6,933.25

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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.