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Finding the Fourth Proportional to 9,319.76, 13,980.18 and 2,746.16

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Solution

The fourth proportional to 9,319.76, 13,980.18 and 2,746.16 is: 4,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.76 : 13,980.18 = 2,746.16 : x
  2. Step 2: Convert to fraction form
    9,319.76/13,980.18 = 2,746.16/x
  3. Step 3: Cross multiply
    9,319.76x = 13,980.18 × 2,746.16
  4. Step 4: Simplify right side
    9,319.76x = 38,391,811.11
  5. Step 5: Solve for x
    x = 38,391,811.11/9,319.76
  6. Step 6: Final answer
    x = 4,119.40

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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.