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Finding the Fourth Proportional to 7,061.32, 9,746.04 and 4,077.64

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Solution

The fourth proportional to 7,061.32, 9,746.04 and 4,077.64 is: 5,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.32 : 9,746.04 = 4,077.64 : x
  2. Step 2: Convert to fraction form
    7,061.32/9,746.04 = 4,077.64/x
  3. Step 3: Cross multiply
    7,061.32x = 9,746.04 × 4,077.64
  4. Step 4: Simplify right side
    7,061.32x = 39,740,842.55
  5. Step 5: Solve for x
    x = 39,740,842.55/7,061.32
  6. Step 6: Final answer
    x = 5,627.96

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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.