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Finding the Fourth Proportional to 9,870.51, 14,805.16 and 3,296.15

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Solution

The fourth proportional to 9,870.51, 14,805.16 and 3,296.15 is: 4,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.51 : 14,805.16 = 3,296.15 : x
  2. Step 2: Convert to fraction form
    9,870.51/14,805.16 = 3,296.15/x
  3. Step 3: Cross multiply
    9,870.51x = 14,805.16 × 3,296.15
  4. Step 4: Simplify right side
    9,870.51x = 48,799,945.87
  5. Step 5: Solve for x
    x = 48,799,945.87/9,870.51
  6. Step 6: Final answer
    x = 4,944.01

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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.