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Finding the Fourth Proportional to 9,702.16, 14,552.29 and 3,133.06

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Solution

The fourth proportional to 9,702.16, 14,552.29 and 3,133.06 is: 4,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.16 : 14,552.29 = 3,133.06 : x
  2. Step 2: Convert to fraction form
    9,702.16/14,552.29 = 3,133.06/x
  3. Step 3: Cross multiply
    9,702.16x = 14,552.29 × 3,133.06
  4. Step 4: Simplify right side
    9,702.16x = 45,593,197.71
  5. Step 5: Solve for x
    x = 45,593,197.71/9,702.16
  6. Step 6: Final answer
    x = 4,699.28

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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.