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Finding the Fourth Proportional to 9,700.70, 14,547.45 and 3,856.10

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Solution

The fourth proportional to 9,700.70, 14,547.45 and 3,856.10 is: 5,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.70 : 14,547.45 = 3,856.10 : x
  2. Step 2: Convert to fraction form
    9,700.70/14,547.45 = 3,856.10/x
  3. Step 3: Cross multiply
    9,700.70x = 14,547.45 × 3,856.10
  4. Step 4: Simplify right side
    9,700.70x = 56,096,421.95
  5. Step 5: Solve for x
    x = 56,096,421.95/9,700.70
  6. Step 6: Final answer
    x = 5,782.72

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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.