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Finding the Fourth Proportional to 9,763.41, 14,645.12 and 4,572.93

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Solution

The fourth proportional to 9,763.41, 14,645.12 and 4,572.93 is: 6,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.41 : 14,645.12 = 4,572.93 : x
  2. Step 2: Convert to fraction form
    9,763.41/14,645.12 = 4,572.93/x
  3. Step 3: Cross multiply
    9,763.41x = 14,645.12 × 4,572.93
  4. Step 4: Simplify right side
    9,763.41x = 66,971,085.74
  5. Step 5: Solve for x
    x = 66,971,085.74/9,763.41
  6. Step 6: Final answer
    x = 6,859.40

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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.