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Finding the Fourth Proportional to 9,501.70, 14,252.55 and 9,258.70

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Solution

The fourth proportional to 9,501.70, 14,252.55 and 9,258.70 is: 13,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.70 : 14,252.55 = 9,258.70 : x
  2. Step 2: Convert to fraction form
    9,501.70/14,252.55 = 9,258.70/x
  3. Step 3: Cross multiply
    9,501.70x = 14,252.55 × 9,258.70
  4. Step 4: Simplify right side
    9,501.70x = 131,960,084.69
  5. Step 5: Solve for x
    x = 131,960,084.69/9,501.70
  6. Step 6: Final answer
    x = 13,888.05

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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.