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Finding the Fourth Proportional to 9,689.42, 14,521.71 and 7,050.26

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Solution

The fourth proportional to 9,689.42, 14,521.71 and 7,050.26 is: 10,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.42 : 14,521.71 = 7,050.26 : x
  2. Step 2: Convert to fraction form
    9,689.42/14,521.71 = 7,050.26/x
  3. Step 3: Cross multiply
    9,689.42x = 14,521.71 × 7,050.26
  4. Step 4: Simplify right side
    9,689.42x = 102,381,831.14
  5. Step 5: Solve for x
    x = 102,381,831.14/9,689.42
  6. Step 6: Final answer
    x = 10,566.35

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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.