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Finding the Fourth Proportional to 9,988.57, 13,784.16 and 5,512.51

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Solution

The fourth proportional to 9,988.57, 13,784.16 and 5,512.51 is: 7,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.57 : 13,784.16 = 5,512.51 : x
  2. Step 2: Convert to fraction form
    9,988.57/13,784.16 = 5,512.51/x
  3. Step 3: Cross multiply
    9,988.57x = 13,784.16 × 5,512.51
  4. Step 4: Simplify right side
    9,988.57x = 75,985,319.84
  5. Step 5: Solve for x
    x = 75,985,319.84/9,988.57
  6. Step 6: Final answer
    x = 7,607.23

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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.