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Finding the Fourth Proportional to 9,853.32, 14,782.68 and 4,307.16

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Solution

The fourth proportional to 9,853.32, 14,782.68 and 4,307.16 is: 6,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.32 : 14,782.68 = 4,307.16 : x
  2. Step 2: Convert to fraction form
    9,853.32/14,782.68 = 4,307.16/x
  3. Step 3: Cross multiply
    9,853.32x = 14,782.68 × 4,307.16
  4. Step 4: Simplify right side
    9,853.32x = 63,671,367.99
  5. Step 5: Solve for x
    x = 63,671,367.99/9,853.32
  6. Step 6: Final answer
    x = 6,461.92

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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.