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Finding the Fourth Proportional to 9,459.35, 13,054.00 and 5,210.51

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Solution

The fourth proportional to 9,459.35, 13,054.00 and 5,210.51 is: 7,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.35 : 13,054.00 = 5,210.51 : x
  2. Step 2: Convert to fraction form
    9,459.35/13,054.00 = 5,210.51/x
  3. Step 3: Cross multiply
    9,459.35x = 13,054.00 × 5,210.51
  4. Step 4: Simplify right side
    9,459.35x = 68,017,995.11
  5. Step 5: Solve for x
    x = 68,017,995.11/9,459.35
  6. Step 6: Final answer
    x = 7,190.55

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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.