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Finding the Fourth Proportional to 9,719.40, 13,410.18 and 6,570.12

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Solution

The fourth proportional to 9,719.40, 13,410.18 and 6,570.12 is: 9,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.40 : 13,410.18 = 6,570.12 : x
  2. Step 2: Convert to fraction form
    9,719.40/13,410.18 = 6,570.12/x
  3. Step 3: Cross multiply
    9,719.40x = 13,410.18 × 6,570.12
  4. Step 4: Simplify right side
    9,719.40x = 88,106,491.82
  5. Step 5: Solve for x
    x = 88,106,491.82/9,719.40
  6. Step 6: Final answer
    x = 9,065.01

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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.