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Finding the Fourth Proportional to 9,189.60, 12,681.75 and 5,157.32

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Solution

The fourth proportional to 9,189.60, 12,681.75 and 5,157.32 is: 7,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.60 : 12,681.75 = 5,157.32 : x
  2. Step 2: Convert to fraction form
    9,189.60/12,681.75 = 5,157.32/x
  3. Step 3: Cross multiply
    9,189.60x = 12,681.75 × 5,157.32
  4. Step 4: Simplify right side
    9,189.60x = 65,403,812.95
  5. Step 5: Solve for x
    x = 65,403,812.95/9,189.60
  6. Step 6: Final answer
    x = 7,117.16

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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.