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Finding the Fourth Proportional to 9,648.61, 14,463.68 and 3,070.52

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Solution

The fourth proportional to 9,648.61, 14,463.68 and 3,070.52 is: 4,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.61 : 14,463.68 = 3,070.52 : x
  2. Step 2: Convert to fraction form
    9,648.61/14,463.68 = 3,070.52/x
  3. Step 3: Cross multiply
    9,648.61x = 14,463.68 × 3,070.52
  4. Step 4: Simplify right side
    9,648.61x = 44,411,018.71
  5. Step 5: Solve for x
    x = 44,411,018.71/9,648.61
  6. Step 6: Final answer
    x = 4,602.84

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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.