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Finding the Fourth Proportional to 9,701.95, 14,554.85 and 6,712.58

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Solution

The fourth proportional to 9,701.95, 14,554.85 and 6,712.58 is: 10,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.95 : 14,554.85 = 6,712.58 : x
  2. Step 2: Convert to fraction form
    9,701.95/14,554.85 = 6,712.58/x
  3. Step 3: Cross multiply
    9,701.95x = 14,554.85 × 6,712.58
  4. Step 4: Simplify right side
    9,701.95x = 97,700,595.01
  5. Step 5: Solve for x
    x = 97,700,595.01/9,701.95
  6. Step 6: Final answer
    x = 10,070.20

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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.