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Finding the Fourth Proportional to 9,707.60, 13,397.64 and 6,127.76

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Solution

The fourth proportional to 9,707.60, 13,397.64 and 6,127.76 is: 8,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.60 : 13,397.64 = 6,127.76 : x
  2. Step 2: Convert to fraction form
    9,707.60/13,397.64 = 6,127.76/x
  3. Step 3: Cross multiply
    9,707.60x = 13,397.64 × 6,127.76
  4. Step 4: Simplify right side
    9,707.60x = 82,097,522.49
  5. Step 5: Solve for x
    x = 82,097,522.49/9,707.60
  6. Step 6: Final answer
    x = 8,457.04

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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.