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Finding the Fourth Proportional to 9,689.40, 14,527.48 and 5,007.48

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Solution

The fourth proportional to 9,689.40, 14,527.48 and 5,007.48 is: 7,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.40 : 14,527.48 = 5,007.48 : x
  2. Step 2: Convert to fraction form
    9,689.40/14,527.48 = 5,007.48/x
  3. Step 3: Cross multiply
    9,689.40x = 14,527.48 × 5,007.48
  4. Step 4: Simplify right side
    9,689.40x = 72,746,065.55
  5. Step 5: Solve for x
    x = 72,746,065.55/9,689.40
  6. Step 6: Final answer
    x = 7,507.80

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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.