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Finding the Fourth Proportional to 10,258.70, 15,395.54 and 9,646.34

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Solution

The fourth proportional to 10,258.70, 15,395.54 and 9,646.34 is: 14,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.70 : 15,395.54 = 9,646.34 : x
  2. Step 2: Convert to fraction form
    10,258.70/15,395.54 = 9,646.34/x
  3. Step 3: Cross multiply
    10,258.70x = 15,395.54 × 9,646.34
  4. Step 4: Simplify right side
    10,258.70x = 148,510,488.11
  5. Step 5: Solve for x
    x = 148,510,488.11/10,258.70
  6. Step 6: Final answer
    x = 14,476.55

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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.