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Finding the Fourth Proportional to 9,345.16, 14,018 and 4,417.12

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Solution

The fourth proportional to 9,345.16, 14,018 and 4,417.12 is: 6,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.16 : 14,018 = 4,417.12 : x
  2. Step 2: Convert to fraction form
    9,345.16/14,018 = 4,417.12/x
  3. Step 3: Cross multiply
    9,345.16x = 14,018 × 4,417.12
  4. Step 4: Simplify right side
    9,345.16x = 61,919,188.16
  5. Step 5: Solve for x
    x = 61,919,188.16/9,345.16
  6. Step 6: Final answer
    x = 6,625.80

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Why These Related Problems?

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