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Finding the Fourth Proportional to 9,459.36, 13,054.37 and 5,482.67

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Solution

The fourth proportional to 9,459.36, 13,054.37 and 5,482.67 is: 7,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.36 : 13,054.37 = 5,482.67 : x
  2. Step 2: Convert to fraction form
    9,459.36/13,054.37 = 5,482.67/x
  3. Step 3: Cross multiply
    9,459.36x = 13,054.37 × 5,482.67
  4. Step 4: Simplify right side
    9,459.36x = 71,572,710.08
  5. Step 5: Solve for x
    x = 71,572,710.08/9,459.36
  6. Step 6: Final answer
    x = 7,566.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.