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Finding the Fourth Proportional to 7,069.07, 9,748.95 and 4,416.74

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Solution

The fourth proportional to 7,069.07, 9,748.95 and 4,416.74 is: 6,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.07 : 9,748.95 = 4,416.74 : x
  2. Step 2: Convert to fraction form
    7,069.07/9,748.95 = 4,416.74/x
  3. Step 3: Cross multiply
    7,069.07x = 9,748.95 × 4,416.74
  4. Step 4: Simplify right side
    7,069.07x = 43,058,577.42
  5. Step 5: Solve for x
    x = 43,058,577.42/7,069.07
  6. Step 6: Final answer
    x = 6,091.12

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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.