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Finding the Fourth Proportional to 9,577.00, 13,215.53 and 5,327.96

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Solution

The fourth proportional to 9,577.00, 13,215.53 and 5,327.96 is: 7,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.00 : 13,215.53 = 5,327.96 : x
  2. Step 2: Convert to fraction form
    9,577.00/13,215.53 = 5,327.96/x
  3. Step 3: Cross multiply
    9,577.00x = 13,215.53 × 5,327.96
  4. Step 4: Simplify right side
    9,577.00x = 70,411,762.46
  5. Step 5: Solve for x
    x = 70,411,762.46/9,577.00
  6. Step 6: Final answer
    x = 7,352.17

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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.