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Finding the Fourth Proportional to 9,549.93, 14,332.82 and 4,873.40

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Solution

The fourth proportional to 9,549.93, 14,332.82 and 4,873.40 is: 7,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.93 : 14,332.82 = 4,873.40 : x
  2. Step 2: Convert to fraction form
    9,549.93/14,332.82 = 4,873.40/x
  3. Step 3: Cross multiply
    9,549.93x = 14,332.82 × 4,873.40
  4. Step 4: Simplify right side
    9,549.93x = 69,849,522.70
  5. Step 5: Solve for x
    x = 69,849,522.70/9,549.93
  6. Step 6: Final answer
    x = 7,314.14

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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.