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Finding the Fourth Proportional to 7,157.16, 9,894.64 and 7,091.52

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Solution

The fourth proportional to 7,157.16, 9,894.64 and 7,091.52 is: 9,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.16 : 9,894.64 = 7,091.52 : x
  2. Step 2: Convert to fraction form
    7,157.16/9,894.64 = 7,091.52/x
  3. Step 3: Cross multiply
    7,157.16x = 9,894.64 × 7,091.52
  4. Step 4: Simplify right side
    7,157.16x = 70,168,037.45
  5. Step 5: Solve for x
    x = 70,168,037.45/7,157.16
  6. Step 6: Final answer
    x = 9,803.89

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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.