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Finding the Fourth Proportional to 9,877.46, 14,777.88 and 6,307.76

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Solution

The fourth proportional to 9,877.46, 14,777.88 and 6,307.76 is: 9,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.46 : 14,777.88 = 6,307.76 : x
  2. Step 2: Convert to fraction form
    9,877.46/14,777.88 = 6,307.76/x
  3. Step 3: Cross multiply
    9,877.46x = 14,777.88 × 6,307.76
  4. Step 4: Simplify right side
    9,877.46x = 93,215,320.35
  5. Step 5: Solve for x
    x = 93,215,320.35/9,877.46
  6. Step 6: Final answer
    x = 9,437.18

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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.