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Finding the Fourth Proportional to 9,507.32, 14,264.08 and 4,577.36

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Solution

The fourth proportional to 9,507.32, 14,264.08 and 4,577.36 is: 6,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.32 : 14,264.08 = 4,577.36 : x
  2. Step 2: Convert to fraction form
    9,507.32/14,264.08 = 4,577.36/x
  3. Step 3: Cross multiply
    9,507.32x = 14,264.08 × 4,577.36
  4. Step 4: Simplify right side
    9,507.32x = 65,291,829.23
  5. Step 5: Solve for x
    x = 65,291,829.23/9,507.32
  6. Step 6: Final answer
    x = 6,867.53

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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.