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Finding the Fourth Proportional to 9,577.35, 13,216.31 and 5,328.08

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Solution

The fourth proportional to 9,577.35, 13,216.31 and 5,328.08 is: 7,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.35 : 13,216.31 = 5,328.08 : x
  2. Step 2: Convert to fraction form
    9,577.35/13,216.31 = 5,328.08/x
  3. Step 3: Cross multiply
    9,577.35x = 13,216.31 × 5,328.08
  4. Step 4: Simplify right side
    9,577.35x = 70,417,563.77
  5. Step 5: Solve for x
    x = 70,417,563.77/9,577.35
  6. Step 6: Final answer
    x = 7,352.51

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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.