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Finding the Fourth Proportional to 9,719.16, 13,411.95 and 5,527.32

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Solution

The fourth proportional to 9,719.16, 13,411.95 and 5,527.32 is: 7,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.16 : 13,411.95 = 5,527.32 : x
  2. Step 2: Convert to fraction form
    9,719.16/13,411.95 = 5,527.32/x
  3. Step 3: Cross multiply
    9,719.16x = 13,411.95 × 5,527.32
  4. Step 4: Simplify right side
    9,719.16x = 74,132,139.47
  5. Step 5: Solve for x
    x = 74,132,139.47/9,719.16
  6. Step 6: Final answer
    x = 7,627.42

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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.